Finding the Third Proportional to 31,287 and 49,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,287 : 49,168.50 = 49,168.50 : x
2. Step 2: Convert to fraction form
   31,287/49,168.50 = 49,168.50/x
3. Step 3: Cross multiply
   31,287x = 49,168.50 × 49,168.50
4. Step 4: Simplify right side
   31,287x = 2,417,541,392.25
5. Step 5: Solve for x
   x = 2,417,541,392.25/31,287
6. Step 6: Final answer
   x = 77,269.84