Finding the Third Proportional to 17,676 and 25,563

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 25,563 = 25,563 : x
2. Step 2: Convert to fraction form
   17,676/25,563 = 25,563/x
3. Step 3: Cross multiply
   17,676x = 25,563 × 25,563
4. Step 4: Simplify right side
   17,676x = 653,466,969
5. Step 5: Solve for x
   x = 653,466,969/17,676
6. Step 6: Final answer
   x = 36,969.17