Finding the Third Proportional to 22.50 and 30.38

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 30.38 = 30.38 : x
2. Step 2: Convert to fraction form
   22.50/30.38 = 30.38/x
3. Step 3: Cross multiply
   22.50x = 30.38 × 30.38
4. Step 4: Simplify right side
   22.50x = 922.64
5. Step 5: Solve for x
   x = 922.64/22.50
6. Step 6: Final answer
   x = 41.01