Finding the Third Proportional to 16,408 and 22,588

Step by Step Solution

1. Step 1: Write the proportion equation
   16,408 : 22,588 = 22,588 : x
2. Step 2: Convert to fraction form
   16,408/22,588 = 22,588/x
3. Step 3: Cross multiply
   16,408x = 22,588 × 22,588
4. Step 4: Simplify right side
   16,408x = 510,217,744
5. Step 5: Solve for x
   x = 510,217,744/16,408
6. Step 6: Final answer
   x = 31,095.67