Finding the Third Proportional to 2,769 and 5,684

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769 : 5,684 = 5,684 : x
2. Step 2: Convert to fraction form
   2,769/5,684 = 5,684/x
3. Step 3: Cross multiply
   2,769x = 5,684 × 5,684
4. Step 4: Simplify right side
   2,769x = 32,307,856
5. Step 5: Solve for x
   x = 32,307,856/2,769
6. Step 6: Final answer
   x = 11,667.70