Finding the Third Proportional to 8,024 and 17,504

Step by Step Solution

1. Step 1: Write the proportion equation
   8,024 : 17,504 = 17,504 : x
2. Step 2: Convert to fraction form
   8,024/17,504 = 17,504/x
3. Step 3: Cross multiply
   8,024x = 17,504 × 17,504
4. Step 4: Simplify right side
   8,024x = 306,390,016
5. Step 5: Solve for x
   x = 306,390,016/8,024
6. Step 6: Final answer
   x = 38,184.20