I just commented on a the same problem at Roberta Estes blog when she wrote that DNA triangulation (aka segment triangulation) is possible at FTDNA. Hint: it's not
The problem is that in order to confirm segment triangulation, all 3 (or more) people need to match at an overlapping locus on the same chromosome. I have a visual representation (screenshot) of what I mean by overlapping locus here.
Now as Paul Chisarik has rightfully pointed out, the distant relationship in this specific case gives very little chance that indeed such segments qualifying for DNA triangulation have survived the random recombination events (due to the many generations and thus, many recombination events).
At the same time, it's a perfect example why you can't do segment triangulation at FTDNA as it doesn't show you where match B matches match C. Yes, they do match but on chromosome 2 and not on the chromosome 3 where the other two match (assuming that match A is QD3146867)
Here's Eric's segment matching data again for easier reference (given by himself in one reply):
All of these are on GEDmatch and they should have been in there long enough.
AQ6848363 <-> QD3146867 is showing an overlap of 14.08cM on one segment, chromosome 3.
QD3146867 <-> T366951 is showing an overlap of 50.22cM on two segments, chromosome 3 and 4.
AQ6848363 <-> T366951 is showing an overlap of 14.04cM on one segment, chromosome 2.