Finding the Third Proportional to 31,117 and 49,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,117 : 49,474.50 = 49,474.50 : x
2. Step 2: Convert to fraction form
   31,117/49,474.50 = 49,474.50/x
3. Step 3: Cross multiply
   31,117x = 49,474.50 × 49,474.50
4. Step 4: Simplify right side
   31,117x = 2,447,726,150.25
5. Step 5: Solve for x
   x = 2,447,726,150.25/31,117
6. Step 6: Final answer
   x = 78,662.02