Finding the Third Proportional to 13,002 and 20,457

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002 : 20,457 = 20,457 : x
2. Step 2: Convert to fraction form
   13,002/20,457 = 20,457/x
3. Step 3: Cross multiply
   13,002x = 20,457 × 20,457
4. Step 4: Simplify right side
   13,002x = 418,488,849
5. Step 5: Solve for x
   x = 418,488,849/13,002
6. Step 6: Final answer
   x = 32,186.50