Finding the Third Proportional to 14,002 and 32,715

Step by Step Solution

1. Step 1: Write the proportion equation
   14,002 : 32,715 = 32,715 : x
2. Step 2: Convert to fraction form
   14,002/32,715 = 32,715/x
3. Step 3: Cross multiply
   14,002x = 32,715 × 32,715
4. Step 4: Simplify right side
   14,002x = 1,070,271,225
5. Step 5: Solve for x
   x = 1,070,271,225/14,002
6. Step 6: Final answer
   x = 76,437.03