Finding the Third Proportional to 116.75 and 132.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116.75 : 132.75 = 132.75 : x
2. Step 2: Convert to fraction form
   116.75/132.75 = 132.75/x
3. Step 3: Cross multiply
   116.75x = 132.75 × 132.75
4. Step 4: Simplify right side
   116.75x = 17,622.56
5. Step 5: Solve for x
   x = 17,622.56/116.75
6. Step 6: Final answer
   x = 150.94