An emotional David Raven reflected on a 'dream come true' after his last-gasp winner sent Inverness through to their first-ever William Hill Scottish Cup final at the expense of favourites Celtic. Defender Raven slotted home the deciding goal four minutes from the end of extra time as Caley stunned 10-man Celtic 3-2 at Hampden Park to set up a final showdown with Falkirk. The 30-year-old Raven, who has only managed a handful of goals in his entire career, struggled to describe how he felt following an eventful match which he admitted could have gone either way. David Raven (second right) celebrates with his Inverness team-mates following his extra-time winner . The celebrations continue on the pitch as Inverness rejoice in reaching the William Hill Scottish Cup final . He told Sky Sports: 'I don't know really, a bit emotional to be honest, got tears in my eyes. I thought it was just our day and to score the winning goal today is a dream come true. In a cup semi-final against Celtic, I can't believe it. 'It was topsy-turvy and it could have gone either way.' Celtic took an 18th-minute lead through Virgil van Dijk's brilliant free-kick and then had loud claims for a clear penalty turned down just before half-time when the ball struck Josh Meekings' hand a yard from goal. That was a key incident in the match, as was the penalty that was awarded to Inverness in the 55th minute which saw Celtic goalkeeper Craig Gordon sent off for bringing down Marley Watkins. Greg Tansey slotted home the penalty to make it 1-1 and Raven would end up settling the match right at the death after Edward Ofere and John Guidetti had made it 2-2 in extra time. The Caley defender hailed his late winner as 'a dream come true' ahead of the final against Falkirk . Celtic players stand dejected on the pitch with their hopes of a treble over following their 3-2 loss . Inverness boss John Hughes said: 'The sending off changed the game in Inverness' favour, but as I said before the game, what these boys have done for me since I came to the club, they deserve that today. 'I'm absolutely delighted to be there. 'Well done to the boys and supporters. On their final opponents, Hughes said: 'A small club, Falkirk have had some wonderful times there and it'll be a right good cup final, and hopefully it is for Scottish football.'
Inverness upset Celtic 3-2 in the Scottish Cup semi-final on Sunday . Caley defender David Raven scored the winning goal in extra time . The 30-year-old has hailed his wining strike as a 'dream come true'