Finding the Third Proportional to 82.82 and 116.41

Step by Step Solution

1. Step 1: Write the proportion equation
   82.82 : 116.41 = 116.41 : x
2. Step 2: Convert to fraction form
   82.82/116.41 = 116.41/x
3. Step 3: Cross multiply
   82.82x = 116.41 × 116.41
4. Step 4: Simplify right side
   82.82x = 13,552.23
5. Step 5: Solve for x
   x = 13,552.23/82.82
6. Step 6: Final answer
   x = 163.64