Finding the Third Proportional to 2,568.80 and 5,613.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,568.80 : 5,613.47 = 5,613.47 : x
2. Step 2: Convert to fraction form
   2,568.80/5,613.47 = 5,613.47/x
3. Step 3: Cross multiply
   2,568.80x = 5,613.47 × 5,613.47
4. Step 4: Simplify right side
   2,568.80x = 31,511,031.41
5. Step 5: Solve for x
   x = 31,511,031.41/2,568.80
6. Step 6: Final answer
   x = 12,266.84