Finding the Third Proportional to 8,684 and 10,556

Step by Step Solution

1. Step 1: Write the proportion equation
   8,684 : 10,556 = 10,556 : x
2. Step 2: Convert to fraction form
   8,684/10,556 = 10,556/x
3. Step 3: Cross multiply
   8,684x = 10,556 × 10,556
4. Step 4: Simplify right side
   8,684x = 111,429,136
5. Step 5: Solve for x
   x = 111,429,136/8,684
6. Step 6: Final answer
   x = 12,831.54