Finding the Third Proportional to 2,647.69 and 5,641.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 5,641.31 = 5,641.31 : x
2. Step 2: Convert to fraction form
   2,647.69/5,641.31 = 5,641.31/x
3. Step 3: Cross multiply
   2,647.69x = 5,641.31 × 5,641.31
4. Step 4: Simplify right side
   2,647.69x = 31,824,406.72
5. Step 5: Solve for x
   x = 31,824,406.72/2,647.69
6. Step 6: Final answer
   x = 12,019.70