Finding the Third Proportional to 31,877 and 65,162

Step by Step Solution

1. Step 1: Write the proportion equation
   31,877 : 65,162 = 65,162 : x
2. Step 2: Convert to fraction form
   31,877/65,162 = 65,162/x
3. Step 3: Cross multiply
   31,877x = 65,162 × 65,162
4. Step 4: Simplify right side
   31,877x = 4,246,086,244
5. Step 5: Solve for x
   x = 4,246,086,244/31,877
6. Step 6: Final answer
   x = 133,202.19