Finding the Third Proportional to 9,616 and 11,002

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616 : 11,002 = 11,002 : x
2. Step 2: Convert to fraction form
   9,616/11,002 = 11,002/x
3. Step 3: Cross multiply
   9,616x = 11,002 × 11,002
4. Step 4: Simplify right side
   9,616x = 121,044,004
5. Step 5: Solve for x
   x = 121,044,004/9,616
6. Step 6: Final answer
   x = 12,587.77