Finding the Third Proportional to 16,500 and 25,566

Step by Step Solution

1. Step 1: Write the proportion equation
   16,500 : 25,566 = 25,566 : x
2. Step 2: Convert to fraction form
   16,500/25,566 = 25,566/x
3. Step 3: Cross multiply
   16,500x = 25,566 × 25,566
4. Step 4: Simplify right side
   16,500x = 653,620,356
5. Step 5: Solve for x
   x = 653,620,356/16,500
6. Step 6: Final answer
   x = 39,613.35