Finding the Third Proportional to 24,090 and 31,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,090 : 31,963.50 = 31,963.50 : x
2. Step 2: Convert to fraction form
   24,090/31,963.50 = 31,963.50/x
3. Step 3: Cross multiply
   24,090x = 31,963.50 × 31,963.50
4. Step 4: Simplify right side
   24,090x = 1,021,665,332.25
5. Step 5: Solve for x
   x = 1,021,665,332.25/24,090
6. Step 6: Final answer
   x = 42,410.35