Hazebroek's problem of a finite line-source in an infinite elastic medium is reconsidered. Here the object is to present a simpler method of solution by treating bhe line-source as equivalent to an appropriate distribution of point sources over the surface of a prolate spheroid which degenerates into this line in the limit when its minor axis tends to zero. This is achieved by using the property of Green's functions. The solution thus obtained is verified to be identical with that derived by Hazebroek.