To find the product of x and y, we can use the formula for the nth term of a geometric progression:
an = a1 * r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the number of terms.
Since x, 3/2, 6/7, y are in geometric progression, we can write:
3/2 = x * r
6/7 = 3/2 * r
y = 6/7 * r
Solving for r in the second equation:
6/7 = 3/2 * r
r = (6/7) / (3/2)
r = 4/7
Substituting r in the first and third equations:
3/2 = x * (4/7)
x = (3/2) / (4/7)
x = 21/8
y = 6/7 * (4/7)
y = 24/49
Therefore, the product xy is:
xy = (21/8) * (24/49)
xy = 9/7
Therefore, the answer is: 9/7.