Finding the Third Proportional to 11,549.25 and 24,461.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,549.25 : 24,461.75 = 24,461.75 : x
2. Step 2: Convert to fraction form
   11,549.25/24,461.75 = 24,461.75/x
3. Step 3: Cross multiply
   11,549.25x = 24,461.75 × 24,461.75
4. Step 4: Simplify right side
   11,549.25x = 598,377,213.06
5. Step 5: Solve for x
   x = 598,377,213.06/11,549.25
6. Step 6: Final answer
   x = 51,810.92