Finding the Third Proportional to 2,787.86 and 4,314.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,787.86 : 4,314.20 = 4,314.20 : x
2. Step 2: Convert to fraction form
   2,787.86/4,314.20 = 4,314.20/x
3. Step 3: Cross multiply
   2,787.86x = 4,314.20 × 4,314.20
4. Step 4: Simplify right side
   2,787.86x = 18,612,314.90
5. Step 5: Solve for x
   x = 18,612,314.90/2,787.86
6. Step 6: Final answer
   x = 6,676.21