Finding the Third Proportional to 24,201.75 and 37,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,201.75 : 37,385.25 = 37,385.25 : x
2. Step 2: Convert to fraction form
   24,201.75/37,385.25 = 37,385.25/x
3. Step 3: Cross multiply
   24,201.75x = 37,385.25 × 37,385.25
4. Step 4: Simplify right side
   24,201.75x = 1,397,656,917.56
5. Step 5: Solve for x
   x = 1,397,656,917.56/24,201.75
6. Step 6: Final answer
   x = 57,750.24