Finding the Third Proportional to 13.50 and 22.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 22.50 = 22.50 : x
2. Step 2: Convert to fraction form
   13.50/22.50 = 22.50/x
3. Step 3: Cross multiply
   13.50x = 22.50 × 22.50
4. Step 4: Simplify right side
   13.50x = 506.25
5. Step 5: Solve for x
   x = 506.25/13.50
6. Step 6: Final answer
   x = 37.50