Finding the Third Proportional to 8,384 and 12,685

Step by Step Solution

1. Step 1: Write the proportion equation
   8,384 : 12,685 = 12,685 : x
2. Step 2: Convert to fraction form
   8,384/12,685 = 12,685/x
3. Step 3: Cross multiply
   8,384x = 12,685 × 12,685
4. Step 4: Simplify right side
   8,384x = 160,909,225
5. Step 5: Solve for x
   x = 160,909,225/8,384
6. Step 6: Final answer
   x = 19,192.42