I will present a consistent theory of classical systems coupled to quantum ones via the path integral formulation. The dynamics is linear in the density matrix, completely positive and trace-preserving. We then apply the formalism to general relativity, since it's reasonable to question whether spacetime should have a quantum nature given it's status within quantum field theory. In the classical-quantum formalism, the measurement postulate of quantum mechanics is not needed since the interaction of the quantum degrees of freedom with classical spacetime necessarily causes collapse of the wave-function. Any such classical quantum theory necessarily has an experimental signature which can be used to test the quantum nature of gravity. I'll conclude with an update on the current status of the program.