Finding the Third Proportional to 22.50 and 38.25

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 38.25 = 38.25 : x
2. Step 2: Convert to fraction form
   22.50/38.25 = 38.25/x
3. Step 3: Cross multiply
   22.50x = 38.25 × 38.25
4. Step 4: Simplify right side
   22.50x = 1,463.06
5. Step 5: Solve for x
   x = 1,463.06/22.50
6. Step 6: Final answer
   x = 65.03