Finding the Third Proportional to 10,849 and 16,231

Step by Step Solution

1. Step 1: Write the proportion equation
   10,849 : 16,231 = 16,231 : x
2. Step 2: Convert to fraction form
   10,849/16,231 = 16,231/x
3. Step 3: Cross multiply
   10,849x = 16,231 × 16,231
4. Step 4: Simplify right side
   10,849x = 263,445,361
5. Step 5: Solve for x
   x = 263,445,361/10,849
6. Step 6: Final answer
   x = 24,282.92