Finding the Third Proportional to 2,184.15 and 4,675.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.15 : 4,675.85 = 4,675.85 : x
2. Step 2: Convert to fraction form
   2,184.15/4,675.85 = 4,675.85/x
3. Step 3: Cross multiply
   2,184.15x = 4,675.85 × 4,675.85
4. Step 4: Simplify right side
   2,184.15x = 21,863,587.83
5. Step 5: Solve for x
   x = 21,863,587.83/2,184.15
6. Step 6: Final answer
   x = 10,010.10