Finding the Third Proportional to 2,425.88 and 3,757.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,425.88 : 3,757.69 = 3,757.69 : x
2. Step 2: Convert to fraction form
   2,425.88/3,757.69 = 3,757.69/x
3. Step 3: Cross multiply
   2,425.88x = 3,757.69 × 3,757.69
4. Step 4: Simplify right side
   2,425.88x = 14,120,215.35
5. Step 5: Solve for x
   x = 14,120,215.35/2,425.88
6. Step 6: Final answer
   x = 5,820.67