Finding the Third Proportional to 2,638.13 and 5,713.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.13 : 5,713.88 = 5,713.88 : x
2. Step 2: Convert to fraction form
   2,638.13/5,713.88 = 5,713.88/x
3. Step 3: Cross multiply
   2,638.13x = 5,713.88 × 5,713.88
4. Step 4: Simplify right side
   2,638.13x = 32,648,367.52
5. Step 5: Solve for x
   x = 32,648,367.52/2,638.13
6. Step 6: Final answer
   x = 12,375.60