Finding the Third Proportional to 2,647.69 and 5,671.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 5,671.27 = 5,671.27 : x
2. Step 2: Convert to fraction form
   2,647.69/5,671.27 = 5,671.27/x
3. Step 3: Cross multiply
   2,647.69x = 5,671.27 × 5,671.27
4. Step 4: Simplify right side
   2,647.69x = 32,163,253.79
5. Step 5: Solve for x
   x = 32,163,253.79/2,647.69
6. Step 6: Final answer
   x = 12,147.68