5 ug/kg (incidence of platinum in crust) x 6x10^24 kg (crust size) x 32 USD/g (price of platinum)
Asteroid mining is crazy silly. We're not supply limited for any element on earth, we're demand limited. If the price of platinum rose substantially, so would supply.
It doesn't matter how much of anything is available in space, the only thing that matters is cost. Can it be extracted and brought back to earth for a cost less than the current price on earth? AFAICT, we're not even close to that for anything.