Finding the Third Proportional to 9,684 and 10,980

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 10,980 = 10,980 : x
2. Step 2: Convert to fraction form
   9,684/10,980 = 10,980/x
3. Step 3: Cross multiply
   9,684x = 10,980 × 10,980
4. Step 4: Simplify right side
   9,684x = 120,560,400
5. Step 5: Solve for x
   x = 120,560,400/9,684
6. Step 6: Final answer
   x = 12,449.44