Finding the Third Proportional to 16,408 and 21,828

Step by Step Solution

1. Step 1: Write the proportion equation
   16,408 : 21,828 = 21,828 : x
2. Step 2: Convert to fraction form
   16,408/21,828 = 21,828/x
3. Step 3: Cross multiply
   16,408x = 21,828 × 21,828
4. Step 4: Simplify right side
   16,408x = 476,461,584
5. Step 5: Solve for x
   x = 476,461,584/16,408
6. Step 6: Final answer
   x = 29,038.37