Finding the Third Proportional to 82 and 116.56

Step by Step Solution

1. Step 1: Write the proportion equation
   82 : 116.56 = 116.56 : x
2. Step 2: Convert to fraction form
   82/116.56 = 116.56/x
3. Step 3: Cross multiply
   82x = 116.56 × 116.56
4. Step 4: Simplify right side
   82x = 13,586.82
5. Step 5: Solve for x
   x = 13,586.82/82
6. Step 6: Final answer
   x = 165.69