Finding the Third Proportional to 2,778 and 5,692

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778 : 5,692 = 5,692 : x
2. Step 2: Convert to fraction form
   2,778/5,692 = 5,692/x
3. Step 3: Cross multiply
   2,778x = 5,692 × 5,692
4. Step 4: Simplify right side
   2,778x = 32,398,864
5. Step 5: Solve for x
   x = 32,398,864/2,778
6. Step 6: Final answer
   x = 11,662.66