Finding the Third Proportional to 89.50 and 132.69

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 132.69 = 132.69 : x
2. Step 2: Convert to fraction form
   89.50/132.69 = 132.69/x
3. Step 3: Cross multiply
   89.50x = 132.69 × 132.69
4. Step 4: Simplify right side
   89.50x = 17,605.97
5. Step 5: Solve for x
   x = 17,605.97/89.50
6. Step 6: Final answer
   x = 196.71