Finding the Third Proportional to 2.59 and 5.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2.59 : 5.56 = 5.56 : x
2. Step 2: Convert to fraction form
   2.59/5.56 = 5.56/x
3. Step 3: Cross multiply
   2.59x = 5.56 × 5.56
4. Step 4: Simplify right side
   2.59x = 30.94
5. Step 5: Solve for x
   x = 30.94/2.59
6. Step 6: Final answer
   x = 11.93