If you’re looking for the yellow datacron to boost to your stats or to get the Galactic History 35: The Gank Massacres codex entry, the Republic Nar Shaddaa yellow datacron is slightly easier to get – it still has jumping, but the jumping is not as precise as the Imperial version, and the Imperial and Republic stat boost and codex entry are shared.
Quick Travel / Taxi / Heroic Shuttle
The [HEROIC 2+] Crushing the Jedi Freedom Fighters imperial Heroic shuttle is kinda close if you don’t have the quick travel, you’ll just need to take the elevator back down to the slums map.
Otherwise quick travel or taxi to the Duros Sector.
Find the Giant Pile of Shipping Crates
Start from some crates in the back of the pile.
Jump to the very top of the pile of crates.
Jump onto the Metal Beams
This is the tricky part. You will need to jump from the highest box to the lowest metal beam nearby. I did my running jump off of my mount, and I gave myself more leeway by jumping at a diagonal to the beam, so I had more room to land on instead of jumping at it straight-on.
You the need to jump on a second beam. This will be one that is closer to a walkway or platform up above. Back up, give yourself space to jump up onto it from your first beam.
Last you need to jump on the third beam connected to the walkway. This jump is similar, back up and give yourself space to jump.
These beam jumps are quite difficult, so don’t be discouraged if you need to redo it quite a few times.
Jump Onto the Canopy
Once you are up on the walkway, jump up onto the little boxes then up onto the canopy, and use it to walk to the next walkway.
Take the Elevator
From there you’ll be able to take the secret elevator up to the Residential Catwalks.
Jump Onto the Pipe
Take care not to fall off, but you’re done with the jumping puzzle, so just get onto the pipe and follow it. From the pipe you’ll be able to get onto another walkway.
Jump Onto the Final Canopy
One more jump and you’re done, jump down to the final canopy and the datacron will be up on a lamp post.