Finding the Third Proportional to 16,590 and 24,401

Step by Step Solution

1. Step 1: Write the proportion equation
   16,590 : 24,401 = 24,401 : x
2. Step 2: Convert to fraction form
   16,590/24,401 = 24,401/x
3. Step 3: Cross multiply
   16,590x = 24,401 × 24,401
4. Step 4: Simplify right side
   16,590x = 595,408,801
5. Step 5: Solve for x
   x = 595,408,801/16,590
6. Step 6: Final answer
   x = 35,889.62