Finding the Third Proportional to 9,684 and 11,124

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 11,124 = 11,124 : x
2. Step 2: Convert to fraction form
   9,684/11,124 = 11,124/x
3. Step 3: Cross multiply
   9,684x = 11,124 × 11,124
4. Step 4: Simplify right side
   9,684x = 123,743,376
5. Step 5: Solve for x
   x = 123,743,376/9,684
6. Step 6: Final answer
   x = 12,778.13