Finding the Third Proportional to 24,205.25 and 37,388.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,205.25 : 37,388.75 = 37,388.75 : x
2. Step 2: Convert to fraction form
   24,205.25/37,388.75 = 37,388.75/x
3. Step 3: Cross multiply
   24,205.25x = 37,388.75 × 37,388.75
4. Step 4: Simplify right side
   24,205.25x = 1,397,918,626.56
5. Step 5: Solve for x
   x = 1,397,918,626.56/24,205.25
6. Step 6: Final answer
   x = 57,752.70