Finding the Third Proportional to 2,624 and 3,824

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624 : 3,824 = 3,824 : x
2. Step 2: Convert to fraction form
   2,624/3,824 = 3,824/x
3. Step 3: Cross multiply
   2,624x = 3,824 × 3,824
4. Step 4: Simplify right side
   2,624x = 14,622,976
5. Step 5: Solve for x
   x = 14,622,976/2,624
6. Step 6: Final answer
   x = 5,572.78