Finding the Third Proportional to 2,768 and 5,500

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768 : 5,500 = 5,500 : x
2. Step 2: Convert to fraction form
   2,768/5,500 = 5,500/x
3. Step 3: Cross multiply
   2,768x = 5,500 × 5,500
4. Step 4: Simplify right side
   2,768x = 30,250,000
5. Step 5: Solve for x
   x = 30,250,000/2,768
6. Step 6: Final answer
   x = 10,928.47