Finding the Third Proportional to 2,815.59 and 4,382.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,815.59 : 4,382.86 = 4,382.86 : x
2. Step 2: Convert to fraction form
   2,815.59/4,382.86 = 4,382.86/x
3. Step 3: Cross multiply
   2,815.59x = 4,382.86 × 4,382.86
4. Step 4: Simplify right side
   2,815.59x = 19,209,456.30
5. Step 5: Solve for x
   x = 19,209,456.30/2,815.59
6. Step 6: Final answer
   x = 6,822.52