Finding the Third Proportional to 82.11 and 115.57

Step by Step Solution

1. Step 1: Write the proportion equation
   82.11 : 115.57 = 115.57 : x
2. Step 2: Convert to fraction form
   82.11/115.57 = 115.57/x
3. Step 3: Cross multiply
   82.11x = 115.57 × 115.57
4. Step 4: Simplify right side
   82.11x = 13,355.82
5. Step 5: Solve for x
   x = 13,355.82/82.11
6. Step 6: Final answer
   x = 162.66