Finding the Third Proportional to 9,504 and 13,884

Step by Step Solution

1. Step 1: Write the proportion equation
   9,504 : 13,884 = 13,884 : x
2. Step 2: Convert to fraction form
   9,504/13,884 = 13,884/x
3. Step 3: Cross multiply
   9,504x = 13,884 × 13,884
4. Step 4: Simplify right side
   9,504x = 192,765,456
5. Step 5: Solve for x
   x = 192,765,456/9,504
6. Step 6: Final answer
   x = 20,282.56