Finding the Third Proportional to 24,264 and 37,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,264 : 37,462.50 = 37,462.50 : x
2. Step 2: Convert to fraction form
   24,264/37,462.50 = 37,462.50/x
3. Step 3: Cross multiply
   24,264x = 37,462.50 × 37,462.50
4. Step 4: Simplify right side
   24,264x = 1,403,438,906.25
5. Step 5: Solve for x
   x = 1,403,438,906.25/24,264
6. Step 6: Final answer
   x = 57,840.38