Finding the Third Proportional to 86.34 and 132.05

Step by Step Solution

1. Step 1: Write the proportion equation
   86.34 : 132.05 = 132.05 : x
2. Step 2: Convert to fraction form
   86.34/132.05 = 132.05/x
3. Step 3: Cross multiply
   86.34x = 132.05 × 132.05
4. Step 4: Simplify right side
   86.34x = 17,436.38
5. Step 5: Solve for x
   x = 17,436.38/86.34
6. Step 6: Final answer
   x = 201.94