If this is inside, under cover and there is a hurry and you can't wait a long time, I'd go for something like adding cement and making a cement stabilized pad. 5% should be tested first to see if that is sufficient and of course it has to be mixed as best as you can,followed by compaction and don't worry about that 95 percent, since it will be a weak form of concrete. A spec change maybe in order then.
If outside, of course, good weather and more mixing will be needed.
And if you can't get good weather, look at cement stabilization there also.
Finally, if only for floor support, maybe the spec is too rigid.