Wirelessly posted (Mozilla/5.0 (SymbianOS/9.2; U; Series60/3.1 NokiaE71-2/100.07.76; Profile/MIDP-2.0 Configuration/CLDC-1.1 ) AppleWebKit/413 (KHTML, like Gecko) Safari/413)
You will actually be reporting the loss of your valid passport and applying for a replacement, NOT applying for a completely new passport (it's a technical, but important, distinction).
To get a better understanding of the process, go to
http://travel.state.gov
Then click on the"Lost and Stolen Passport" link.
BTW - the fact that you posess a paid international airline ticket is sufficient justification for your emergency appointment. Best of luck, and please let us know how it turns out.