Question 149452
LET X-1, X & X+1 BE THE THREE NUMBERS.
(X-1)X(X+1)=15,600
A SIMPLE TEST CAN DETERMINE THE VALUE OF THE MIDDLE NUMBER.
X^3-X=15,600
X^3=15,600+X
NOW FIND THE CUBE ROOT OF 15,600:
CUBERT15,600=24.98 
NOW ADD THE MEXT WHOLE NUMBER ABOVE 24.98 (25) TO 15,600+25=15,625.
NOW FIND THE CUBERT15,625
CUBERT15,625=25 WHICH IS THE MIDDLE NUMBER.
24,25,26 ARE THE 3 NUMBERS.
PROOF:
24*25*26=15,600
15,600=15,600