Finding the Third Proportional to 11,478 and 16,162

Step by Step Solution

1. Step 1: Write the proportion equation
   11,478 : 16,162 = 16,162 : x
2. Step 2: Convert to fraction form
   11,478/16,162 = 16,162/x
3. Step 3: Cross multiply
   11,478x = 16,162 × 16,162
4. Step 4: Simplify right side
   11,478x = 261,210,244
5. Step 5: Solve for x
   x = 261,210,244/11,478
6. Step 6: Final answer
   x = 22,757.47