Finding the Third Proportional to 10,222 and 16,427

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222 : 16,427 = 16,427 : x
2. Step 2: Convert to fraction form
   10,222/16,427 = 16,427/x
3. Step 3: Cross multiply
   10,222x = 16,427 × 16,427
4. Step 4: Simplify right side
   10,222x = 269,846,329
5. Step 5: Solve for x
   x = 269,846,329/10,222
6. Step 6: Final answer
   x = 26,398.58