Finding the Third Proportional to 10,736 and 19,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 19,864 = 19,864 : x
2. Step 2: Convert to fraction form
   10,736/19,864 = 19,864/x
3. Step 3: Cross multiply
   10,736x = 19,864 × 19,864
4. Step 4: Simplify right side
   10,736x = 394,578,496
5. Step 5: Solve for x
   x = 394,578,496/10,736
6. Step 6: Final answer
   x = 36,752.84