Finding the Third Proportional to 10,353 and 16,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353 : 16,144.50 = 16,144.50 : x
2. Step 2: Convert to fraction form
   10,353/16,144.50 = 16,144.50/x
3. Step 3: Cross multiply
   10,353x = 16,144.50 × 16,144.50
4. Step 4: Simplify right side
   10,353x = 260,644,880.25
5. Step 5: Solve for x
   x = 260,644,880.25/10,353
6. Step 6: Final answer
   x = 25,175.78