Finding the Third Proportional to 2,644.13 and 5,743.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.13 : 5,743.88 = 5,743.88 : x
2. Step 2: Convert to fraction form
   2,644.13/5,743.88 = 5,743.88/x
3. Step 3: Cross multiply
   2,644.13x = 5,743.88 × 5,743.88
4. Step 4: Simplify right side
   2,644.13x = 32,992,100.02
5. Step 5: Solve for x
   x = 32,992,100.02/2,644.13
6. Step 6: Final answer
   x = 12,477.51