Finding the Third Proportional to 2,565.42 and 5,617.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.42 : 5,617.48 = 5,617.48 : x
2. Step 2: Convert to fraction form
   2,565.42/5,617.48 = 5,617.48/x
3. Step 3: Cross multiply
   2,565.42x = 5,617.48 × 5,617.48
4. Step 4: Simplify right side
   2,565.42x = 31,556,042.93
5. Step 5: Solve for x
   x = 31,556,042.93/2,565.42
6. Step 6: Final answer
   x = 12,300.53