Finding the Third Proportional to 13,856 and 19,616

Step by Step Solution

1. Step 1: Write the proportion equation
   13,856 : 19,616 = 19,616 : x
2. Step 2: Convert to fraction form
   13,856/19,616 = 19,616/x
3. Step 3: Cross multiply
   13,856x = 19,616 × 19,616
4. Step 4: Simplify right side
   13,856x = 384,787,456
5. Step 5: Solve for x
   x = 384,787,456/13,856
6. Step 6: Final answer
   x = 27,770.46