Finding the Third Proportional to 2.58 and 5.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2.58 : 5.50 = 5.50 : x
2. Step 2: Convert to fraction form
   2.58/5.50 = 5.50/x
3. Step 3: Cross multiply
   2.58x = 5.50 × 5.50
4. Step 4: Simplify right side
   2.58x = 30.20
5. Step 5: Solve for x
   x = 30.20/2.58
6. Step 6: Final answer
   x = 11.70