Finding the Third Proportional to 13,876 and 16,144

Step by Step Solution

1. Step 1: Write the proportion equation
   13,876 : 16,144 = 16,144 : x
2. Step 2: Convert to fraction form
   13,876/16,144 = 16,144/x
3. Step 3: Cross multiply
   13,876x = 16,144 × 16,144
4. Step 4: Simplify right side
   13,876x = 260,628,736
5. Step 5: Solve for x
   x = 260,628,736/13,876
6. Step 6: Final answer
   x = 18,782.70