Finding the Third Proportional to 2.55 and 5.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2.55 : 5.37 = 5.37 : x
2. Step 2: Convert to fraction form
   2.55/5.37 = 5.37/x
3. Step 3: Cross multiply
   2.55x = 5.37 × 5.37
4. Step 4: Simplify right side
   2.55x = 28.88
5. Step 5: Solve for x
   x = 28.88/2.55
6. Step 6: Final answer
   x = 11.31