Finding the Third Proportional to 3,755.25 and 5,713.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.25 : 5,713.88 = 5,713.88 : x
2. Step 2: Convert to fraction form
   3,755.25/5,713.88 = 5,713.88/x
3. Step 3: Cross multiply
   3,755.25x = 5,713.88 × 5,713.88
4. Step 4: Simplify right side
   3,755.25x = 32,648,367.52
5. Step 5: Solve for x
   x = 32,648,367.52/3,755.25
6. Step 6: Final answer
   x = 8,694.06