  Anisotropic Bianchi-III cosmological model is investigated with variable
gravitational and cosmological constants in the framework of Einstein's general
relativity. The shear scalar is considered to be proportional to the expansion
scalar. The dynamics of the anisotropic universe with variable G and Lambda are
discussed. Without assuming any specific forms for Lambda and the metric
potentials, we have tried to extract the time variation of G and Lambda from
the anisotropic model. The extracted G and Lambda are in conformity with the
present day observation. Basing upon the observational limits, the behaviour
and range of the effective equation of state parameter are discussed.
