Ok, the questioner asked how an untethered astronaut could get back "by their own efforts", so we can forget tethers, booms, rocket packs or any assistance from the crew of the space station. I realise now that my earlier answer was simplistic. The best course of action depends on the direction the astronaut is moving relative to the space station and how fast. Assuming the mishap was similar to the loss of the toolbox, then the astronaut is moving away as a result of their own action and so their velocity relative to the space station is small.
Case 1: If they have been propelled directly towards the Earth or directly away from the Earth then they will move into a more elliptical orbit which will cross the orbit of the space station 4 times per rotation around the Earth. Given that the orbits are only slightly different and the space station is large, the astronaut and the space station will meet at the intersection points (at least on the first few times round), so the astronaut just has to wait then grab hold at the next intersection.
Case 2: If they have been propelled "sideways", that is perpendicular to the space station's orbit but maintaining the same height above the Earth, then the orbits will cross twice per rotation around the Earth. Again, they just need to grab hold at the next intersection.
(continued in next post)