Finding the Third Proportional to 16,022 and 22,408

Step by Step Solution

1. Step 1: Write the proportion equation
   16,022 : 22,408 = 22,408 : x
2. Step 2: Convert to fraction form
   16,022/22,408 = 22,408/x
3. Step 3: Cross multiply
   16,022x = 22,408 × 22,408
4. Step 4: Simplify right side
   16,022x = 502,118,464
5. Step 5: Solve for x
   x = 502,118,464/16,022
6. Step 6: Final answer
   x = 31,339.31