Finding the Third Proportional to 82.13 and 116.81

Step by Step Solution

1. Step 1: Write the proportion equation
   82.13 : 116.81 = 116.81 : x
2. Step 2: Convert to fraction form
   82.13/116.81 = 116.81/x
3. Step 3: Cross multiply
   82.13x = 116.81 × 116.81
4. Step 4: Simplify right side
   82.13x = 13,645.16
5. Step 5: Solve for x
   x = 13,645.16/82.13
6. Step 6: Final answer
   x = 166.15