Finding the Third Proportional to 2,779.50 and 3,909

Step by Step Solution

1. Step 1: Write the proportion equation
   2,779.50 : 3,909 = 3,909 : x
2. Step 2: Convert to fraction form
   2,779.50/3,909 = 3,909/x
3. Step 3: Cross multiply
   2,779.50x = 3,909 × 3,909
4. Step 4: Simplify right side
   2,779.50x = 15,280,281
5. Step 5: Solve for x
   x = 15,280,281/2,779.50
6. Step 6: Final answer
   x = 5,497.49