Finding the Third Proportional to 16,642 and 24,468

Step by Step Solution

1. Step 1: Write the proportion equation
   16,642 : 24,468 = 24,468 : x
2. Step 2: Convert to fraction form
   16,642/24,468 = 24,468/x
3. Step 3: Cross multiply
   16,642x = 24,468 × 24,468
4. Step 4: Simplify right side
   16,642x = 598,683,024
5. Step 5: Solve for x
   x = 598,683,024/16,642
6. Step 6: Final answer
   x = 35,974.22