Finding the Third Proportional to 13,792 and 16,204

Step by Step Solution

1. Step 1: Write the proportion equation
   13,792 : 16,204 = 16,204 : x
2. Step 2: Convert to fraction form
   13,792/16,204 = 16,204/x
3. Step 3: Cross multiply
   13,792x = 16,204 × 16,204
4. Step 4: Simplify right side
   13,792x = 262,569,616
5. Step 5: Solve for x
   x = 262,569,616/13,792
6. Step 6: Final answer
   x = 19,037.82