Finding the Third Proportional to 14,586.75 and 24,634.13

Step by Step Solution

1. Step 1: Write the proportion equation
   14,586.75 : 24,634.13 = 24,634.13 : x
2. Step 2: Convert to fraction form
   14,586.75/24,634.13 = 24,634.13/x
3. Step 3: Cross multiply
   14,586.75x = 24,634.13 × 24,634.13
4. Step 4: Simplify right side
   14,586.75x = 606,840,114.52
5. Step 5: Solve for x
   x = 606,840,114.52/14,586.75
6. Step 6: Final answer
   x = 41,602.15