Finding the Third Proportional to 10,384 and 19,616

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 19,616 = 19,616 : x
2. Step 2: Convert to fraction form
   10,384/19,616 = 19,616/x
3. Step 3: Cross multiply
   10,384x = 19,616 × 19,616
4. Step 4: Simplify right side
   10,384x = 384,787,456
5. Step 5: Solve for x
   x = 384,787,456/10,384
6. Step 6: Final answer
   x = 37,055.80