Finding the Third Proportional to 9,832 and 14,019

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832 : 14,019 = 14,019 : x
2. Step 2: Convert to fraction form
   9,832/14,019 = 14,019/x
3. Step 3: Cross multiply
   9,832x = 14,019 × 14,019
4. Step 4: Simplify right side
   9,832x = 196,532,361
5. Step 5: Solve for x
   x = 196,532,361/9,832
6. Step 6: Final answer
   x = 19,989.05