Finding the Third Proportional to 2,647.69 and 5,734.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 5,734.13 = 5,734.13 : x
2. Step 2: Convert to fraction form
   2,647.69/5,734.13 = 5,734.13/x
3. Step 3: Cross multiply
   2,647.69x = 5,734.13 × 5,734.13
4. Step 4: Simplify right side
   2,647.69x = 32,880,189.52
5. Step 5: Solve for x
   x = 32,880,189.52/2,647.69
6. Step 6: Final answer
   x = 12,418.46