Finding the Third Proportional to 2,824 and 5,320

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824 : 5,320 = 5,320 : x
2. Step 2: Convert to fraction form
   2,824/5,320 = 5,320/x
3. Step 3: Cross multiply
   2,824x = 5,320 × 5,320
4. Step 4: Simplify right side
   2,824x = 28,302,400
5. Step 5: Solve for x
   x = 28,302,400/2,824
6. Step 6: Final answer
   x = 10,022.10