Finding the Third Proportional to 8,684 and 10,484

Step by Step Solution

1. Step 1: Write the proportion equation
   8,684 : 10,484 = 10,484 : x
2. Step 2: Convert to fraction form
   8,684/10,484 = 10,484/x
3. Step 3: Cross multiply
   8,684x = 10,484 × 10,484
4. Step 4: Simplify right side
   8,684x = 109,914,256
5. Step 5: Solve for x
   x = 109,914,256/8,684
6. Step 6: Final answer
   x = 12,657.10