Finding the Third Proportional to 10,856 and 17,824

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856 : 17,824 = 17,824 : x
2. Step 2: Convert to fraction form
   10,856/17,824 = 17,824/x
3. Step 3: Cross multiply
   10,856x = 17,824 × 17,824
4. Step 4: Simplify right side
   10,856x = 317,694,976
5. Step 5: Solve for x
   x = 317,694,976/10,856
6. Step 6: Final answer
   x = 29,264.46