Finding the Third Proportional to 2,643 and 5,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643 : 5,743.50 = 5,743.50 : x
2. Step 2: Convert to fraction form
   2,643/5,743.50 = 5,743.50/x
3. Step 3: Cross multiply
   2,643x = 5,743.50 × 5,743.50
4. Step 4: Simplify right side
   2,643x = 32,987,792.25
5. Step 5: Solve for x
   x = 32,987,792.25/2,643
6. Step 6: Final answer
   x = 12,481.19