Finding the Third Proportional to 10,219 and 14,071

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219 : 14,071 = 14,071 : x
2. Step 2: Convert to fraction form
   10,219/14,071 = 14,071/x
3. Step 3: Cross multiply
   10,219x = 14,071 × 14,071
4. Step 4: Simplify right side
   10,219x = 197,993,041
5. Step 5: Solve for x
   x = 197,993,041/10,219
6. Step 6: Final answer
   x = 19,374.99