Finding the Third Proportional to 22.50 and 32.75

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 32.75 = 32.75 : x
2. Step 2: Convert to fraction form
   22.50/32.75 = 32.75/x
3. Step 3: Cross multiply
   22.50x = 32.75 × 32.75
4. Step 4: Simplify right side
   22.50x = 1,072.56
5. Step 5: Solve for x
   x = 1,072.56/22.50
6. Step 6: Final answer
   x = 47.67