Finding the Third Proportional to 10,238 and 14,427

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238 : 14,427 = 14,427 : x
2. Step 2: Convert to fraction form
   10,238/14,427 = 14,427/x
3. Step 3: Cross multiply
   10,238x = 14,427 × 14,427
4. Step 4: Simplify right side
   10,238x = 208,138,329
5. Step 5: Solve for x
   x = 208,138,329/10,238
6. Step 6: Final answer
   x = 20,329.98