Finding the Third Proportional to 2,702.43 and 5,849.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,702.43 : 5,849.09 = 5,849.09 : x
2. Step 2: Convert to fraction form
   2,702.43/5,849.09 = 5,849.09/x
3. Step 3: Cross multiply
   2,702.43x = 5,849.09 × 5,849.09
4. Step 4: Simplify right side
   2,702.43x = 34,211,806.30
5. Step 5: Solve for x
   x = 34,211,806.30/2,702.43
6. Step 6: Final answer
   x = 12,659.67