Finding the Third Proportional to 17,676 and 25,562.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 25,562.25 = 25,562.25 : x
2. Step 2: Convert to fraction form
   17,676/25,562.25 = 25,562.25/x
3. Step 3: Cross multiply
   17,676x = 25,562.25 × 25,562.25
4. Step 4: Simplify right side
   17,676x = 653,428,625.06
5. Step 5: Solve for x
   x = 653,428,625.06/17,676
6. Step 6: Final answer
   x = 36,967.00