We construct the asymptotic boundary conditions for Faddeev components of the wave function with the explicitly orthogonalized binary and breakup channels for the three-body scattering problem in configuration space. This makes it possible to obtain an accurate solution of the scattering problem above the breakup threshold, calculating scattering amplitudes by matching the solution of the Faddeev equations with the asymptote of the Faddeev wave function component in the asymptotic domain.