Finding the Third Proportional to 8,456 and 17,824

Step by Step Solution

1. Step 1: Write the proportion equation
   8,456 : 17,824 = 17,824 : x
2. Step 2: Convert to fraction form
   8,456/17,824 = 17,824/x
3. Step 3: Cross multiply
   8,456x = 17,824 × 17,824
4. Step 4: Simplify right side
   8,456x = 317,694,976
5. Step 5: Solve for x
   x = 317,694,976/8,456
6. Step 6: Final answer
   x = 37,570.36