Finding the Third Proportional to 7,005 and 10,824

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005 : 10,824 = 10,824 : x
2. Step 2: Convert to fraction form
   7,005/10,824 = 10,824/x
3. Step 3: Cross multiply
   7,005x = 10,824 × 10,824
4. Step 4: Simplify right side
   7,005x = 117,158,976
5. Step 5: Solve for x
   x = 117,158,976/7,005
6. Step 6: Final answer
   x = 16,725.05