As with all of the Garlean Empire's Signifers, the 3rd Cohort Signifer is a Thaumaturge. While your previous encounters with the Empire in the East Shroud were closer to Little Solace, these ones are far in the East.
Assuming no-one arrived just before you, you can find three in the area around X32.5, Y:20.5. Respawn timers appear to have improved since my last visit - or I am more patient! So, if you can't see any, just hang around a bit and they'll be redeployed ready to be re-defeated!
Involved in MSQ
If you are on your first class' Hunting Log, 3rd Cohort Signifers are encountered during the MSQ Quest 
Sylphish Concerns
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3rd Cohort Signifer Location Map
Location Info
- Approximate Coordinates:
X32.5, Y:20.5 - Region/Area:
East Shroud: Larkscall - Nearest Aetheryte:
East Shroud: The Hawthorn Hut
How Many 3rd Cohort Signifers Are Needed?
For both Lancer and Pugilist, only two are required. This is good, as there is a maximum of three in the area anyhow!
Alternative Location
According to ConsoleGamesWiki, there are others in South Shroud but their coords are nearly the same as those for the East Shroud. So I'll try to check this myself.
Nearby Hunting Log Targets
Featured In the Following Hunting Logs
- Lancer Hunting Log Rank 5 → 2 required.
- Pugilist Hunting Log Rank 5 → 2 required.
Other Hunting Log Targets in the Area
Looking for More Hunting Log Entries?
You can use the search box for specific enemies, or the full log guides I have currently completed can be found here: FFXIV Hunting Log Guides.
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