Finding the Third Proportional to 16,024 and 24,643

Step by Step Solution

1. Step 1: Write the proportion equation
   16,024 : 24,643 = 24,643 : x
2. Step 2: Convert to fraction form
   16,024/24,643 = 24,643/x
3. Step 3: Cross multiply
   16,024x = 24,643 × 24,643
4. Step 4: Simplify right side
   16,024x = 607,277,449
5. Step 5: Solve for x
   x = 607,277,449/16,024
6. Step 6: Final answer
   x = 37,897.99