Finding the Third Proportional to 2.52 and 5.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2.52 : 5.49 = 5.49 : x
2. Step 2: Convert to fraction form
   2.52/5.49 = 5.49/x
3. Step 3: Cross multiply
   2.52x = 5.49 × 5.49
4. Step 4: Simplify right side
   2.52x = 30.17
5. Step 5: Solve for x
   x = 30.17/2.52
6. Step 6: Final answer
   x = 11.96