Finding the Third Proportional to 2.56 and 5.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2.56 : 5.53 = 5.53 : x
2. Step 2: Convert to fraction form
   2.56/5.53 = 5.53/x
3. Step 3: Cross multiply
   2.56x = 5.53 × 5.53
4. Step 4: Simplify right side
   2.56x = 30.59
5. Step 5: Solve for x
   x = 30.59/2.56
6. Step 6: Final answer
   x = 11.94