Here's the key: Newton's Third Law applies to *pairs* of forces, not individual forces.
Imagine you push a box across the floor. You are applying a force to the box (action). The box pushes back on you with an equal and opposite force (reaction). So why does the box move?
* The forces act on different objects: You push the box, but the box pushes back *on you*. The forces are balanced *between* you and the box, not within the box itself.
* Friction plays a role: Even though the forces between you and the box are equal, there's also friction between the box and the floor. This friction acts in the opposite direction of your push, creating an imbalance of forces *on the box*. This imbalance allows the box to move.
Let's look at another example:
* A rocket: A rocket engine expels hot gas downwards (action). The gas pushes back on the rocket with an equal and opposite force (reaction). This reaction force is what propels the rocket upwards.
In short, Newton's Third Law doesn't prevent movement. It explains how forces interact between objects. To move something, you need an imbalance of forces acting on that object.