Finding the Third Proportional to 22.50 and 29.25

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 29.25 = 29.25 : x
2. Step 2: Convert to fraction form
   22.50/29.25 = 29.25/x
3. Step 3: Cross multiply
   22.50x = 29.25 × 29.25
4. Step 4: Simplify right side
   22.50x = 855.56
5. Step 5: Solve for x
   x = 855.56/22.50
6. Step 6: Final answer
   x = 38.03