Finding the Third Proportional to 2,643.75 and 5,743.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.75 : 5,743.25 = 5,743.25 : x
2. Step 2: Convert to fraction form
   2,643.75/5,743.25 = 5,743.25/x
3. Step 3: Cross multiply
   2,643.75x = 5,743.25 × 5,743.25
4. Step 4: Simplify right side
   2,643.75x = 32,984,920.56
5. Step 5: Solve for x
   x = 32,984,920.56/2,643.75
6. Step 6: Final answer
   x = 12,476.57