Finding the Third Proportional to 2,565.42 and 3,881.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.42 : 3,881.67 = 3,881.67 : x
2. Step 2: Convert to fraction form
   2,565.42/3,881.67 = 3,881.67/x
3. Step 3: Cross multiply
   2,565.42x = 3,881.67 × 3,881.67
4. Step 4: Simplify right side
   2,565.42x = 15,067,376.55
5. Step 5: Solve for x
   x = 15,067,376.55/2,565.42
6. Step 6: Final answer
   x = 5,873.25