Finding the Third Proportional to 32.75 and 52.38

Step by Step Solution

1. Step 1: Write the proportion equation
   32.75 : 52.38 = 52.38 : x
2. Step 2: Convert to fraction form
   32.75/52.38 = 52.38/x
3. Step 3: Cross multiply
   32.75x = 52.38 × 52.38
4. Step 4: Simplify right side
   32.75x = 2,743.14
5. Step 5: Solve for x
   x = 2,743.14/32.75
6. Step 6: Final answer
   x = 83.76