In order to get a replacement passport, I'd have to contact the Australian Embassy and report mine lost. But the moment I did that, my existing passport, even if found, would be invalid.
But on Friday, February 12th, I gave in, called the Australian Embassy and reported my passport lost. I had a faint hope that maybe it had been turned in and they had it but they informed me that, even had that happened, I'd need a new passport to travel.