Finding the Third Proportional to 12,096 and 17,504

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 17,504 = 17,504 : x
2. Step 2: Convert to fraction form
   12,096/17,504 = 17,504/x
3. Step 3: Cross multiply
   12,096x = 17,504 × 17,504
4. Step 4: Simplify right side
   12,096x = 306,390,016
5. Step 5: Solve for x
   x = 306,390,016/12,096
6. Step 6: Final answer
   x = 25,329.86