Finding the Third Proportional to 10,019 and 14,353

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019 : 14,353 = 14,353 : x
2. Step 2: Convert to fraction form
   10,019/14,353 = 14,353/x
3. Step 3: Cross multiply
   10,019x = 14,353 × 14,353
4. Step 4: Simplify right side
   10,019x = 206,008,609
5. Step 5: Solve for x
   x = 206,008,609/10,019
6. Step 6: Final answer
   x = 20,561.79