Finding the Third Proportional to 16,401 and 23,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,401 : 23,965.50 = 23,965.50 : x
2. Step 2: Convert to fraction form
   16,401/23,965.50 = 23,965.50/x
3. Step 3: Cross multiply
   16,401x = 23,965.50 × 23,965.50
4. Step 4: Simplify right side
   16,401x = 574,345,190.25
5. Step 5: Solve for x
   x = 574,345,190.25/16,401
6. Step 6: Final answer
   x = 35,018.91