Finding the Third Proportional to 31,976 and 50,162

Step by Step Solution

1. Step 1: Write the proportion equation
   31,976 : 50,162 = 50,162 : x
2. Step 2: Convert to fraction form
   31,976/50,162 = 50,162/x
3. Step 3: Cross multiply
   31,976x = 50,162 × 50,162
4. Step 4: Simplify right side
   31,976x = 2,516,226,244
5. Step 5: Solve for x
   x = 2,516,226,244/31,976
6. Step 6: Final answer
   x = 78,691.09