Finding the Third Proportional to 24,662 and 37,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,662 : 37,608.50 = 37,608.50 : x
2. Step 2: Convert to fraction form
   24,662/37,608.50 = 37,608.50/x
3. Step 3: Cross multiply
   24,662x = 37,608.50 × 37,608.50
4. Step 4: Simplify right side
   24,662x = 1,414,399,272.25
5. Step 5: Solve for x
   x = 1,414,399,272.25/24,662
6. Step 6: Final answer
   x = 57,351.36