The crossword solution for the term 'surpassed in extravagance' is 'outspent'. This means that someone has spent more money than another person on something, usually in a luxurious or excessive manner. This could be in the context of a competition, where one person has outdone the other in terms of spending. It could also refer to a situation where one person has gone above and beyond in terms of extravagance, outspending the other.