Finding the Third Proportional to 83.53 and 132.89

Step by Step Solution

1. Step 1: Write the proportion equation
   83.53 : 132.89 = 132.89 : x
2. Step 2: Convert to fraction form
   83.53/132.89 = 132.89/x
3. Step 3: Cross multiply
   83.53x = 132.89 × 132.89
4. Step 4: Simplify right side
   83.53x = 17,659.92
5. Step 5: Solve for x
   x = 17,659.92/83.53
6. Step 6: Final answer
   x = 211.42