Finding the Third Proportional to 2,749.78 and 5,839.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,749.78 : 5,839.59 = 5,839.59 : x
2. Step 2: Convert to fraction form
   2,749.78/5,839.59 = 5,839.59/x
3. Step 3: Cross multiply
   2,749.78x = 5,839.59 × 5,839.59
4. Step 4: Simplify right side
   2,749.78x = 34,100,855.17
5. Step 5: Solve for x
   x = 34,100,855.17/2,749.78
6. Step 6: Final answer
   x = 12,401.30