Finding the Third Proportional to 10,162 and 11,458

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162 : 11,458 = 11,458 : x
2. Step 2: Convert to fraction form
   10,162/11,458 = 11,458/x
3. Step 3: Cross multiply
   10,162x = 11,458 × 11,458
4. Step 4: Simplify right side
   10,162x = 131,285,764
5. Step 5: Solve for x
   x = 131,285,764/10,162
6. Step 6: Final answer
   x = 12,919.28