Finding the Third Proportional to 2,647.97 and 5,647.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.97 : 5,647.78 = 5,647.78 : x
2. Step 2: Convert to fraction form
   2,647.97/5,647.78 = 5,647.78/x
3. Step 3: Cross multiply
   2,647.97x = 5,647.78 × 5,647.78
4. Step 4: Simplify right side
   2,647.97x = 31,897,433.05
5. Step 5: Solve for x
   x = 31,897,433.05/2,647.97
6. Step 6: Final answer
   x = 12,046.00