Finding the Third Proportional to 2,024 and 5,441

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024 : 5,441 = 5,441 : x
2. Step 2: Convert to fraction form
   2,024/5,441 = 5,441/x
3. Step 3: Cross multiply
   2,024x = 5,441 × 5,441
4. Step 4: Simplify right side
   2,024x = 29,604,481
5. Step 5: Solve for x
   x = 29,604,481/2,024
6. Step 6: Final answer
   x = 14,626.72