Finding the Third Proportional to 2,778 and 5,749

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778 : 5,749 = 5,749 : x
2. Step 2: Convert to fraction form
   2,778/5,749 = 5,749/x
3. Step 3: Cross multiply
   2,778x = 5,749 × 5,749
4. Step 4: Simplify right side
   2,778x = 33,051,001
5. Step 5: Solve for x
   x = 33,051,001/2,778
6. Step 6: Final answer
   x = 11,897.41