Finding the Third Proportional to 2,677.15 and 5,849.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,677.15 : 5,849.80 = 5,849.80 : x
2. Step 2: Convert to fraction form
   2,677.15/5,849.80 = 5,849.80/x
3. Step 3: Cross multiply
   2,677.15x = 5,849.80 × 5,849.80
4. Step 4: Simplify right side
   2,677.15x = 34,220,134.90
5. Step 5: Solve for x
   x = 34,220,134.90/2,677.15
6. Step 6: Final answer
   x = 12,782.29