Finding the Third Proportional to 13,686 and 16,116

Step by Step Solution

1. Step 1: Write the proportion equation
   13,686 : 16,116 = 16,116 : x
2. Step 2: Convert to fraction form
   13,686/16,116 = 16,116/x
3. Step 3: Cross multiply
   13,686x = 16,116 × 16,116
4. Step 4: Simplify right side
   13,686x = 259,725,456
5. Step 5: Solve for x
   x = 259,725,456/13,686
6. Step 6: Final answer
   x = 18,977.46