Rangers boss Stuart McCall admits his jittery side made him sweat as they clung on to claim the result which sees them into the Scottish Premiership play-off semi-finals.
The Ibrox side will now take on Hibernian over two legs after edging out Queen of the South with a 1-1 Ibrox draw.
After claiming a 2-1 quarter-final first-leg lead at Palmerston, Gers left their fans panicking in the Glasgow return as they fell behind to Derek Lyle's first-half header.
They were booed off at half-time as their promotion hopes hung in the balance. However, they responded after the break with (pictured) Lee Wallace's equaliser and clung on through the final nervy half-hour for a 3-2 aggregate triumph.
McCall said: "It was more nervous than it should have been. In the first half we created a lot of opportunities. But then they scored with their first real attack.
"However, we probably proved a lot of people wrong. Going in at half-time there would've been folk saying Rangers have bottled it again.
"But we said to them at half-time, 'if we keep creating we will make opportunities'. We just need to keep it tight at the other end. In the last 10 or 15 minutes, Queens had nothing to lose while we were a bit tense. But it's job done and I'm proud of them."
Gers will now welcome Alan Stubbs' side to Ibrox on Wednesday before the second leg in Leith next Saturday, with the winner set to take on top-flight strugglers Motherwell in the final.