Finding the Third Proportional to 31,049 and 49,186

Step by Step Solution

1. Step 1: Write the proportion equation
   31,049 : 49,186 = 49,186 : x
2. Step 2: Convert to fraction form
   31,049/49,186 = 49,186/x
3. Step 3: Cross multiply
   31,049x = 49,186 × 49,186
4. Step 4: Simplify right side
   31,049x = 2,419,262,596
5. Step 5: Solve for x
   x = 2,419,262,596/31,049
6. Step 6: Final answer
   x = 77,917.57