Finding the Third Proportional to 2,575.13 and 5,748.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.13 : 5,748.05 = 5,748.05 : x
2. Step 2: Convert to fraction form
   2,575.13/5,748.05 = 5,748.05/x
3. Step 3: Cross multiply
   2,575.13x = 5,748.05 × 5,748.05
4. Step 4: Simplify right side
   2,575.13x = 33,040,042.88
5. Step 5: Solve for x
   x = 33,040,042.88/2,575.13
6. Step 6: Final answer
   x = 12,830.46