Screen Sharing

I have to give a presentation for work in about a month. In my presentation I will be using an android tablet (Samsung Galaxy Tab 3 10.1). I will be using the remote desktop program TeamViewer to access my work computer from the tablet and show our customers some advantages to using this software (TeamViewer) in conjunction with our software. My boss wants me to share my tablet screen, technically my work computer screen, to the projector display so our customers can see what I am doing. I know PC to tablet/phone sharing exist, but is there a program where I can share whats on my tablet with a laptop that is connected to a projector. Sorry if this sounds confusing. Its a lot of screen sharing going on. Thanks for any and all help.

 

Malarky32

And I should also mention that I don't want to root my tablet.

HDMI out over MHL. It will be cabled to the projector but it will work. 

if you use a smart tv instead of projector you will be able to mirror your tablet to the screen easily.

Are there any latency issues with the cable? I would prefer to not use one. Does anyone know of a good program to stream it?