Finding the Third Proportional to 1,284.56 and 2,821.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,284.56 : 2,821.69 = 2,821.69 : x
2. Step 2: Convert to fraction form
   1,284.56/2,821.69 = 2,821.69/x
3. Step 3: Cross multiply
   1,284.56x = 2,821.69 × 2,821.69
4. Step 4: Simplify right side
   1,284.56x = 7,961,920.35
5. Step 5: Solve for x
   x = 7,961,920.35/1,284.56
6. Step 6: Final answer
   x = 6,198.16