>>11379501I assume you are given space coordinates and times (t1,t2,t3) of three events.
You actually have concentric circles rather than intersecting circles. You need to find three suitable concentric circles (i.e. their centre and radii).
For instance, the second one (with radius R2) would reach the second event (t2-t1) seconds after the first event.
Meanwhile the time of the first event is R1/v (v - speed of sound, t=0 at explosion).
Time of second event is R2/v = R1/v+(t2-t1)
Tie it in with coordinates and you should have several equations.