Project managers are often responsible for taking a viable project and moving it through the production process. Many of these project managers hold degrees in project management and are familiar with Sigma Six or Lean manufacturing process tools. This does not mean that your EA will have the same role as the project manager, but they do have the ability to take ownership of a project or even to help you.
For example, if your company is planning a retreat, you can employ your EA to take care of all the finer details of the trip, allowing you to enjoy it with your board members. In a project manager role, the EA can take on annual events, creating successes and can be your point person throughout the process.