Late 2013 connect to TB display and 32" HDMI?

[Mobster1983]

I have a late 2013 27" iMac with core i7 and the upgraded graphics card. I am currently running the 27" Thunderbolt Display, along with the iMac display.

I just picked up a 32" Samsung TV from a buddy who moved and want to connect it to HDMI. I plan to buy a TB to HDMI cable tomorrow, but wanted to see if this is possible first. My setup from left to right will be iMac>TB Display>TV.

Will this work as an extended desktop across all three screens if I connect a Thunderbolt to HDMI cable to the TB display and connect that to the TV's HDMI port?

 

[Snay]

I just received my 27" iMac today!
My setup is similar:

HDMI TV<iMac>DVI Monitor

My TV is a 55" Panasonic Plasma
Monitor is 19.5" Asus (In Portrait)

I'm using monprice.com adapters
(Referral Link for $5 off $25)
Mini DisplayPort to HDMI® Adapter w/ Audio Support (Link)

Everything works well.
The TV can be connected and disconnected by switching input source on the TV.

 

[Mobster1983]

Thanks for the reply. I got it set up today. The TV wouldn't work unless I hooked it directly to the iMac (and not the TB display or an external TB drive).