Finding the Third Proportional to 31,165.50 and 49,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,165.50 : 49,543.50 = 49,543.50 : x
2. Step 2: Convert to fraction form
   31,165.50/49,543.50 = 49,543.50/x
3. Step 3: Cross multiply
   31,165.50x = 49,543.50 × 49,543.50
4. Step 4: Simplify right side
   31,165.50x = 2,454,558,392.25
5. Step 5: Solve for x
   x = 2,454,558,392.25/31,165.50
6. Step 6: Final answer
   x = 78,758.83