Finding the Third Proportional to 2,783.43 and 4,083.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,783.43 : 4,083.86 = 4,083.86 : x
2. Step 2: Convert to fraction form
   2,783.43/4,083.86 = 4,083.86/x
3. Step 3: Cross multiply
   2,783.43x = 4,083.86 × 4,083.86
4. Step 4: Simplify right side
   2,783.43x = 16,677,875.49
5. Step 5: Solve for x
   x = 16,677,875.49/2,783.43
6. Step 6: Final answer
   x = 5,991.85