Finding the Third Proportional to 10,228 and 14,014

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228 : 14,014 = 14,014 : x
2. Step 2: Convert to fraction form
   10,228/14,014 = 14,014/x
3. Step 3: Cross multiply
   10,228x = 14,014 × 14,014
4. Step 4: Simplify right side
   10,228x = 196,392,196
5. Step 5: Solve for x
   x = 196,392,196/10,228
6. Step 6: Final answer
   x = 19,201.43