Finding the Third Proportional to 2.50 and 5.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2.50 : 5.38 = 5.38 : x
2. Step 2: Convert to fraction form
   2.50/5.38 = 5.38/x
3. Step 3: Cross multiply
   2.50x = 5.38 × 5.38
4. Step 4: Simplify right side
   2.50x = 28.89
5. Step 5: Solve for x
   x = 28.89/2.50
6. Step 6: Final answer
   x = 11.56