Andy Carroll performs a rowing celebration after scoring his first goal in almost 11 months
Former England internationals Andy Carroll and Danny Drinkwater claimed their first Reading goals as Veljko Paunovic's side won a thriller at Swansea City.
Jamie Paterson put Swansea ahead only for Tom Dele-Bashiru to level within a minute.
Carroll scored just his third goal in four seasons before Ryan Manning's fine finish made it 2-2.
But Reading responded 70 seconds later as Drinkwater swept in the winner.
The Royals became only the second visiting team to win at Swansea this season as Russell Martin's side lost on their own ground for the first time in eight matches.
It was a second successive away victory for Reading - and a first anywhere against Swansea in 17 attempts.
They stay 21st but move four points clear of the drop zone, while Swansea remain ninth.
An undulating afternoon began in ideal fashion for Swansea, as Reading's rearguard parted and Korey Smith accepted the invitation to steer a pass through to Paterson.
He rounded goalkeeper Luke Southwood and rolled home his eighth goal of the season, with Andy Yiadom unable to save Reading despite getting a touch on the line.
Yet Swansea had barely finished celebrating when their defence was opened up all too easily, John Swift feeding Dele-Bashiru to cut inside onto his right foot before flashing home from point-blank range.
Joel Piroe threatened for the hosts, pulling one shot narrowly wide before tapping home from Ethan Laird's cross only for the offside flag to go up.
Reading completed their first-half turnaround when Carroll broke the offside trap to latch on to Drinkwater's ball over the top.
The former Liverpool striker's first touch was superb, though Swansea might still have recovered before his shot deflected into the bottom corner off Rhys Williams to give Carroll just his third goal in the last four seasons.
Swansea rallied at the start of the second half, pulling level when Tom Holmes' clearing header dropped to Manning and he produced a memorable first goal for the club, volleying beyond Southwood with his weaker right foot.
Jamie Paterson celebrates his eighth goal of the season - but Swansea failed to build on their third-minute opener
Yet remarkably, Martin's men conceded almost immediately after scoring for the second time in the match as Reading broke in numbers and the home defence could not cope.
Dele-Bashiru was unfortunate not to get his second as he drove forward and saw his shot cannon back off the post, but Drinkwater was on hand to sweep in his first goal in four years on the rebound.
Swansea took control and very nearly levelled, with Matt Grimes' drive forcing Southwood into a sprawling save before the Reading keeper denied Olivier Ntcham when he looked certain to score.
Piroe and Kyle Naughton also went close before Reading could celebrate a rousing victory.
Swansea head coach Russell Martin:
"Fair play to Reading, they've got some really good players and experience, but we've gifted them three goals. It feels like we've beaten ourselves. We were nowhere where we need to be in the first 45 minutes and we've paid the price for it.
"When you play with a lack of intensity, a lack of energy, a lack of willingness to run a little bit, it can really hurt you. This group's brilliant. I told them, we love them, we love working with them and we love what they are producing on the pitch.
"But we need to make sure we learn from this and it doesn't repeat itself because it's really hurt us. We have wasted a big opportunity to make it a really great week and to really impact the league.
"I can't sugar-coat it. I thought some of the stuff was great at times but it means nothing when you concede goals."
Reading manager Veljko Paunovic:
"We gave a statement today that we are never going to give up. We are going to fight.
"A very difficult match against a very good side. Swansea are capable of keeping the ball and creating opportunities in the final third.
"Their consistency made the game more difficult. We are a team who like to have the ball and today the ball was taken away from us, but we were ready for that.
"We had a plan and it worked for us. The attitude was perfect. The team performance brought us this great result at an important moment for us, not only this season but in the club's history."
- Line-upsMatch StatsLive Text
Line-upsSwansea
Formation 3-4-2-1
18Hamer2Bennett26Naughton46R Williams27Laird8Grimes10Ntcham3Manning7Smith12Paterson17Piroe
- 18Hamer2BennettSubstituted forCullenat 82'minutes26Naughton46R Williams27LairdBooked at 83mins8Grimes10Ntcham3Manning7SmithSubstituted forDownesat 63'minutes12Paterson17Piroe
Substitutes
- 1Benda4Downes16Cooper20Cullen22Latibeaudiere24Bidwell28Walsh
Reading
Formation 4-1-4-1
22Southwood17Yiadom3Holmes24Dann21Baba28Laurent7Halilovic15Drinkwater10Swift19Dele-Bashiru9Carroll
- 22Southwood17Yiadom3Holmes24Dann21Baba28Laurent7HalilovicSubstituted forAzeezat 66'minutes15DrinkwaterBooked at 74mins10SwiftBooked at 86mins19Dele-Bashiru9CarrollSubstituted forPuscasat 81'minutesBooked at 89mins
Substitutes
- 16Tetek30Azeez32Camara33Cabral Barbosa47Puscas48Ashcroft49Abrefa
Referee:Tony HarringtonAttendance:16,980Match StatsHome TeamSwanseaAway TeamReadingPossessionHome74%Away26%ShotsHome19Away9Shots on TargetHome10Away6CornersHome3Away3FoulsHome4Away12Live TextPost update
Match ends, Swansea City 2, Reading 3.
90'+5'Full Time
Second Half ends, Swansea City 2, Reading 3.
90'+3'Post update
Offside, Reading. George Puscas tries a through ball, but Femi Azeez is caught offside.
90'+1'Post update
Jamie Paterson (Swansea City) wins a free kick in the defensive half.
90'+1'Post update
Foul by Tom Dele-Bashiru (Reading).
89'Booking
George Puscas (Reading) is shown the yellow card.
89'Post update
Ryan Manning (Swansea City) wins a free kick in the defensive half.
89'Post update
Foul by George Puscas (Reading).
88'Post update
Attempt saved. Scott Dann (Reading) header from a difficult angle on the left is saved in the bottom left corner. Assisted by John Swift with a cross.
88'Post update
Corner, Reading. Conceded by Flynn Downes.
87'Post update
Foul by Liam Cullen (Swansea City).
87'Post update
Andy Yiadom (Reading) wins a free kick in the defensive half.
87'Post update
Attempt saved. Kyle Naughton (Swansea City) right footed shot from outside the box is saved in the bottom left corner. Assisted by Rhys Williams.
86'Booking
John Swift (Reading) is shown the yellow card for a bad foul.
86'Post update
Ryan Manning (Swansea City) wins a free kick on the left wing.
86'Post update
Foul by John Swift (Reading).
86'Post update
Corner, Swansea City. Conceded by Baba Rahman.
85'Post update
Attempt blocked. Olivier Ntcham (Swansea City) left footed shot from outside the box is blocked. Assisted by Kyle Naughton.
84'Post update
Corner, Reading. Conceded by Ben Hamer.
84'Post update
Attempt saved. John Swift (Reading) right footed shot from outside the box is saved in the top right corner.
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Source: bbc.com