Far-infrared continuum maps made with the Kuiper Airborne Observatory of W3 at 47 and 95 mu m show peaks identified with the mid-infrared sources IRS 4 and IRS 5 and extended emission identified with the radio source W3(A). We have first taken the steepest radial scan profiles from the peaks at IRS 4 and IRS 5 to represent the objects as spherical clouds. Maximum entropy method deconvolutions indicate that these radial scan profiles contain both compact cores and diffuse pedestals of emission. Spherically symmetric radiative-transfer dust-cloud models were created in an attempt to match these observed profiles. Models heated by central protostars or stars that match the 95 mu m data do not match extended emission in the 47 mu m scan profile for any assumed density distribution for either source. After the pedestals of diffuse emission were removed from the original scans to form new ''core'' scans, models were found that approximately match the profiles at both wavelengths. Depending on the exact dust properties assumed for the cloud, the models have either uniform or power-law radial-density gradients with an exponent of -1. The cloud outer radii are 0.3-0.5 pc. Models for IRS 5 have central stellar luminosities of 2.5-3.5 x 10(5) L., depending on the dust, and models for IRS 4 have 9.3 x 10(4) L. for both dust types.