Finding the Third Proportional to 12,397.50 and 17,767.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,397.50 : 17,767.13 = 17,767.13 : x
2. Step 2: Convert to fraction form
   12,397.50/17,767.13 = 17,767.13/x
3. Step 3: Cross multiply
   12,397.50x = 17,767.13 × 17,767.13
4. Step 4: Simplify right side
   12,397.50x = 315,670,730.77
5. Step 5: Solve for x
   x = 315,670,730.77/12,397.50
6. Step 6: Final answer
   x = 25,462.45