Finding the Third Proportional to 24,833.25 and 58,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,833.25 : 58,578.75 = 58,578.75 : x
2. Step 2: Convert to fraction form
   24,833.25/58,578.75 = 58,578.75/x
3. Step 3: Cross multiply
   24,833.25x = 58,578.75 × 58,578.75
4. Step 4: Simplify right side
   24,833.25x = 3,431,469,951.56
5. Step 5: Solve for x
   x = 3,431,469,951.56/24,833.25
6. Step 6: Final answer
   x = 138,180.46