Finding the Third Proportional to 85.70 and 132.82

Step by Step Solution

1. Step 1: Write the proportion equation
   85.70 : 132.82 = 132.82 : x
2. Step 2: Convert to fraction form
   85.70/132.82 = 132.82/x
3. Step 3: Cross multiply
   85.70x = 132.82 × 132.82
4. Step 4: Simplify right side
   85.70x = 17,640.21
5. Step 5: Solve for x
   x = 17,640.21/85.70
6. Step 6: Final answer
   x = 205.84