Finding the Third Proportional to 3,174.19 and 3,565.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,174.19 : 3,565.69 = 3,565.69 : x
2. Step 2: Convert to fraction form
   3,174.19/3,565.69 = 3,565.69/x
3. Step 3: Cross multiply
   3,174.19x = 3,565.69 × 3,565.69
4. Step 4: Simplify right side
   3,174.19x = 12,714,127.35
5. Step 5: Solve for x
   x = 12,714,127.35/3,174.19
6. Step 6: Final answer
   x = 4,005.47