Finding the Third Proportional to 2,161.69 and 3,565.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,161.69 : 3,565.69 = 3,565.69 : x
2. Step 2: Convert to fraction form
   2,161.69/3,565.69 = 3,565.69/x
3. Step 3: Cross multiply
   2,161.69x = 3,565.69 × 3,565.69
4. Step 4: Simplify right side
   2,161.69x = 12,714,127.35
5. Step 5: Solve for x
   x = 12,714,127.35/2,161.69
6. Step 6: Final answer
   x = 5,881.58