Finding the Third Proportional to 31,486 and 49,142

Step by Step Solution

1. Step 1: Write the proportion equation
   31,486 : 49,142 = 49,142 : x
2. Step 2: Convert to fraction form
   31,486/49,142 = 49,142/x
3. Step 3: Cross multiply
   31,486x = 49,142 × 49,142
4. Step 4: Simplify right side
   31,486x = 2,414,936,164
5. Step 5: Solve for x
   x = 2,414,936,164/31,486
6. Step 6: Final answer
   x = 76,698.73