Finding the Third Proportional to 2,565.42 and 3,739.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.42 : 3,739.92 = 3,739.92 : x
2. Step 2: Convert to fraction form
   2,565.42/3,739.92 = 3,739.92/x
3. Step 3: Cross multiply
   2,565.42x = 3,739.92 × 3,739.92
4. Step 4: Simplify right side
   2,565.42x = 13,987,015.63
5. Step 5: Solve for x
   x = 13,987,015.63/2,565.42
6. Step 6: Final answer
   x = 5,452.13