Finding the Third Proportional to 10,684 and 19,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 19,856 = 19,856 : x
2. Step 2: Convert to fraction form
   10,684/19,856 = 19,856/x
3. Step 3: Cross multiply
   10,684x = 19,856 × 19,856
4. Step 4: Simplify right side
   10,684x = 394,260,736
5. Step 5: Solve for x
   x = 394,260,736/10,684
6. Step 6: Final answer
   x = 36,901.98