Finding the Third Proportional to 31,676 and 49,238

Step by Step Solution

1. Step 1: Write the proportion equation
   31,676 : 49,238 = 49,238 : x
2. Step 2: Convert to fraction form
   31,676/49,238 = 49,238/x
3. Step 3: Cross multiply
   31,676x = 49,238 × 49,238
4. Step 4: Simplify right side
   31,676x = 2,424,380,644
5. Step 5: Solve for x
   x = 2,424,380,644/31,676
6. Step 6: Final answer
   x = 76,536.83