Finding the Third Proportional to 53.25 and 132.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53.25 : 132.75 = 132.75 : x
2. Step 2: Convert to fraction form
   53.25/132.75 = 132.75/x
3. Step 3: Cross multiply
   53.25x = 132.75 × 132.75
4. Step 4: Simplify right side
   53.25x = 17,622.56
5. Step 5: Solve for x
   x = 17,622.56/53.25
6. Step 6: Final answer
   x = 330.94