Finding the Third Proportional to 31,042 and 49,155

Step by Step Solution

1. Step 1: Write the proportion equation
   31,042 : 49,155 = 49,155 : x
2. Step 2: Convert to fraction form
   31,042/49,155 = 49,155/x
3. Step 3: Cross multiply
   31,042x = 49,155 × 49,155
4. Step 4: Simplify right side
   31,042x = 2,416,214,025
5. Step 5: Solve for x
   x = 2,416,214,025/31,042
6. Step 6: Final answer
   x = 77,836.93