Could you tell us about all three machines and what difference there may be in the one which is not working? Are the bioses updated?
Are you installing over Windows 7, or wanting to do a clean install using the 8.1 media. What is the condition of the Hard drives when you start and are you doing anything to change that prior to the install?
Where did you get your media? I assume you are not trying to install in a UEFI configuration?
If you say the media works on the other two, the media is probably good. But can the last machine read it correctly? Maybe there is something about the USB on that system causing a problem for the external drive. A blinking cursor, as you have on the internal drive, normally means the system has been sent to some non-existent place to find the boot files.
Are you hitting the key to boot to the DVD fast enough? It will only show maybe 3 or 4 dots before it freaks out.