Finding the Third Proportional to 12,521 and 17,505

Step by Step Solution

1. Step 1: Write the proportion equation
   12,521 : 17,505 = 17,505 : x
2. Step 2: Convert to fraction form
   12,521/17,505 = 17,505/x
3. Step 3: Cross multiply
   12,521x = 17,505 × 17,505
4. Step 4: Simplify right side
   12,521x = 306,425,025
5. Step 5: Solve for x
   x = 306,425,025/12,521
6. Step 6: Final answer
   x = 24,472.89