Finding the Third Proportional to 13,878 and 18,504

Step by Step Solution

1. Step 1: Write the proportion equation
   13,878 : 18,504 = 18,504 : x
2. Step 2: Convert to fraction form
   13,878/18,504 = 18,504/x
3. Step 3: Cross multiply
   13,878x = 18,504 × 18,504
4. Step 4: Simplify right side
   13,878x = 342,398,016
5. Step 5: Solve for x
   x = 342,398,016/13,878
6. Step 6: Final answer
   x = 24,672