Finding the Third Proportional to 13,280 and 20,566

Step by Step Solution

1. Step 1: Write the proportion equation
   13,280 : 20,566 = 20,566 : x
2. Step 2: Convert to fraction form
   13,280/20,566 = 20,566/x
3. Step 3: Cross multiply
   13,280x = 20,566 × 20,566
4. Step 4: Simplify right side
   13,280x = 422,960,356
5. Step 5: Solve for x
   x = 422,960,356/13,280
6. Step 6: Final answer
   x = 31,849.42