Finding the Third Proportional to 3,610.83 and 4,565.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,610.83 : 4,565.74 = 4,565.74 : x
2. Step 2: Convert to fraction form
   3,610.83/4,565.74 = 4,565.74/x
3. Step 3: Cross multiply
   3,610.83x = 4,565.74 × 4,565.74
4. Step 4: Simplify right side
   3,610.83x = 20,846,001.72
5. Step 5: Solve for x
   x = 20,846,001.72/3,610.83
6. Step 6: Final answer
   x = 5,773.19