Finding the Third Proportional to 31,981.50 and 49,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,981.50 : 49,657.50 = 49,657.50 : x
2. Step 2: Convert to fraction form
   31,981.50/49,657.50 = 49,657.50/x
3. Step 3: Cross multiply
   31,981.50x = 49,657.50 × 49,657.50
4. Step 4: Simplify right side
   31,981.50x = 2,465,867,306.25
5. Step 5: Solve for x
   x = 2,465,867,306.25/31,981.50
6. Step 6: Final answer
   x = 77,102.93