Finding the Third Proportional to 31,879 and 65,166

Step by Step Solution

1. Step 1: Write the proportion equation
   31,879 : 65,166 = 65,166 : x
2. Step 2: Convert to fraction form
   31,879/65,166 = 65,166/x
3. Step 3: Cross multiply
   31,879x = 65,166 × 65,166
4. Step 4: Simplify right side
   31,879x = 4,246,607,556
5. Step 5: Solve for x
   x = 4,246,607,556/31,879
6. Step 6: Final answer
   x = 133,210.19