Let ϕ: 𝔻 → 𝔻 and ψ: 𝔻 → ℂ be analytic maps. They induce a weighted composition operator $ψC_{ϕ}$ acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ