Finding the Third Proportional to 82.69 and 108.77

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 108.77 = 108.77 : x
2. Step 2: Convert to fraction form
   82.69/108.77 = 108.77/x
3. Step 3: Cross multiply
   82.69x = 108.77 × 108.77
4. Step 4: Simplify right side
   82.69x = 11,831.66
5. Step 5: Solve for x
   x = 11,831.66/82.69
6. Step 6: Final answer
   x = 143.09