Answer
It's true that the wagon will exert an equal and opposite force on you. However, the floor will also exert an equal and opposite force on you when you exert a force on the floor. As long as the force from the floor is greater than the force from the wagon, you will be able to move forward with the cart.
Work Step by Step
It's true that the wagon will exert an equal and opposite force on you. However, the floor will also exert an equal and opposite force on you when you exert a force on the floor. As long as the force from the floor is greater than the force from the wagon, you will be able to move forward with the cart.