Angelique Kerber fought back from a set down to beat Australia's Sam Stosur and put Germany in their first Fed Cup final for 22 years against the Czech Republic.
World No 7 Kerber ground out a 4-6 6-0 6-4 victory in two and a quarter hours to ensure Germany, leading 2-0 after the opening day of the semi-final in Brisbane, opened an unassailable 3-0 lead.
Australia won the dead rubber, but it was the Germans who boarded the bus to the airport for the journey home kitted out in pyjamas in preparation for the night flight to Frankfurt.
They will now face the Czech Republic in the final after the Czechs hammered defending champions Italy 4-0 in Ostrava.
Having lost a tight first set to Stosur, Kerber responded in emphatic fashion by reeling off seven straight games to put herself firmly back in the contest.
She then held her nerve to prevail in the decider, securing her country's first final appearance since 1992 and the days of Steffi Graf and Anke Huber.
"It's a really special moment for us," Kerber said afterwards. "We are all working hard to get to the final and win against Australia."
"It was tough and I knew I had to play my best tennis to beat Sam because she is a Grand Slam champion.
"After the first set I was just thinking about playing for the team and I was fighting until the last point. I was a little bit nervous on the last points but now I'm just happy.
"After 1992 we are now in the final and it means a lot for Germany and it's an honour for all of us."
Meanwhile, the Czech Republic reached their third Fed Cup final in four years with victory over Italy on home soil.
Former Wimbledon champion Petra Kvitova beat 20th-ranked Roberta Vinci 6-3 7-5 to secure a spot in the final for the seven-time champions.
Vinci replaced Sara Errani who was originally named for the match and had a 2-1 record against Kvitova after beating her twice last year on clay.
But on a fast indoor hard-court at the CEZ Arena, Kvitova sealed the victory on her second match point with an ace.
"I'm happy we've made it and it will be a pleasure for the whole country to host the finals again," said Kvitova, praising her fellow players on "a superb team".
The Czechs, who lifted the trophy in 2011 and 2012, will host Germany in the Fed Cup final on November 8-9.