  Cyg X-3 is a highly interesting accreting X-ray binary, emitting from the
radio to high-energy gamma-rays. It consists of a compact object wind-fed by a
Wolf-Rayet (WR) star, but the masses of the components and the mass-loss rate
have been a subject of controversies. Here, we determine its masses,
inclination, and the mass-loss rate using our derived relationship between the
mass-loss rate and the mass for WR stars of the WN type, published infrared and
X-ray data, and a relation between the mass-loss rate and the binary period
derivative (observed to be >0 in Cyg X-3). Our obtained mass-loss rate is
almost identical to that from two independent estimates and consistent with
other ones, which strongly supports the validity of this solution. The found WR
and compact object masses are 10.3_{-2.8}^{+3.9}, 2.4_{-1.1}^{+2.1} solar
masses, respectively. Thus, our solution still allows for the presence of
either a neutron star or a black hole, but the latter only with a low mass.
However, the radio, infrared and X-ray properties of the system suggest that
the compact object is a black hole. Such a low-mass black-hole could be formed
via accretion-induced collapse or directly from a supernova.
