Thanks a bunch for the fix. After a few years of gathering dust, my Promedia 2.1s are back to work and sounding great!
I used a different PS/2 keyboard extension cable which had different wire colors so I ended up using a multimeter to map the pins. I thought it might be useful for others to list the 'map' so they can use any 6 wire (plus shield) PS/2 keyboard extension cable. BTW, a keyboard PS/2 connector only has 4 wires so will not work - it has to be a PS/2 keyboard extension cable or some other PS/2 male connector with 6 wires + shield.
Klipsch speaker cable DIN map (looking into the plug with the key pin at ~12 o'clock and going clockwise):
Pin 1 (1 o'clock): Black
Pin 2 (3 o'clock): Yellow
Pin 3 (5 o'clock): Red
Pin 4 (7 o'clock): Brown
Pin 5 (9 o'clock): Orange
Pin 6 (11 o'clock): Green
Shield: bare wire
My PS/2 replacement DIN colors were pin 1: black; pin 2: blue; pin 3: yellow; pin 4: red; pin 5: green; pin 6: white
I removed the Klipsch DIN outer covering and verified the wire to pin colors visually - the wire colors are visible through the translucent plastic matrix. You can check your replacement DIN pin colors by stripping the wires, setting a multimeter on 'continuity' setting and using a fine tip, map each pin by finding the 'short'. I do not know if this extra info is as useful as Fendbass22 original post - just the fact you can use a PS/2 connector was a revelation - but I wanted to contribute my 2 cent. Might save someone $12 if you have an unused keyboard extension cable laying around like from a KVM.