Finding the Third Proportional to 5,684 and 10,774

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684 : 10,774 = 10,774 : x
2. Step 2: Convert to fraction form
   5,684/10,774 = 10,774/x
3. Step 3: Cross multiply
   5,684x = 10,774 × 10,774
4. Step 4: Simplify right side
   5,684x = 116,079,076
5. Step 5: Solve for x
   x = 116,079,076/5,684
6. Step 6: Final answer
   x = 20,422.08