Finding the Third Proportional to 3.82 and 5.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3.82 : 5.38 = 5.38 : x
2. Step 2: Convert to fraction form
   3.82/5.38 = 5.38/x
3. Step 3: Cross multiply
   3.82x = 5.38 × 5.38
4. Step 4: Simplify right side
   3.82x = 28.90
5. Step 5: Solve for x
   x = 28.90/3.82
6. Step 6: Final answer
   x = 7.56