Ian Kinsler doubled to left, stole third - his third steal of the game - and scored to give Texas a 3-2 lead on Young's hit through a drawn-in infield to give the Yankees their third straight loss.
Frank Francisco (2-2) pitched the eighth for the win. C.J.
Wilson walked the leadoff batter in the ninth, but got three outs for his 19th save in 21 chances. Derek Jeter, who got the night off, was in the on-deck circle when Wilson got the final out.
Rivera (2-3) has not allowed a run in a save situation this season. All four runs he's allowed have come in games that were tied.
Sidney Ponson, in his second stint with New York, will face his former team in the series finale Wednesday. Ponson was waived by Texas on June 16 for what Rangers manager Ron Washington said pre-game Tuesday was "His philosophy didn't gel with ours."
Chamberlain mightily struggled with his control in his fifth start. After throwing 114 pitches in 6 2-3 innings to earn his first win as a starter on Wednesday in Pittsburgh, he needed 91 pitches just to get through four innings Tuesday.
Walks to the first two batters in the second led to two runs for Texas, but it could have been much worse. The Rangers had two base runners thrown out trying to advance to third on consecutive RBI hits by Chris Davis and Jarrod Saltalamacchia that gave Texas a 2-0 lead.
Chamberlain had his most electrifying moment of the outing when he struck out Kinsler with a 99 mph fastball to end the inning with a runner on first.
Chamberlain allowed two runs and five hits in four innings. He walked four and struck out six.
Rangers starter Kevin Millwood was removed after allowing a run on five hits and throwing 84 pitches in five innings. He struck out six, but was hurt by his one walk in the fourth.
After walking Jason Giambi with one out, Jorge Posada singled off the wall in right, sending Giambi to third. Robinson Cano followed with just his eighth hit in 41 at-bats with runners in scoring position and less than two outs to make it 2-1.
The Yankees, who were held scoreless in 3 1-3 innings by the Rangers bullpen on Monday, tied it off Josh Rupe in the sixth inning.
Jeter's fill-in, Wilson Betemit, had a two-out RBI single scoring Posada to tie it 2-all. The Yankees used three hits with two outs to score the tying run.
