Finding the Third Proportional to 2,647.94 and 5,647.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.94 : 5,647.69 = 5,647.69 : x
2. Step 2: Convert to fraction form
   2,647.94/5,647.69 = 5,647.69/x
3. Step 3: Cross multiply
   2,647.94x = 5,647.69 × 5,647.69
4. Step 4: Simplify right side
   2,647.94x = 31,896,374.10
5. Step 5: Solve for x
   x = 31,896,374.10/2,647.94
6. Step 6: Final answer
   x = 12,045.74