Finding the Third Proportional to 11,648 and 15,162

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648 : 15,162 = 15,162 : x
2. Step 2: Convert to fraction form
   11,648/15,162 = 15,162/x
3. Step 3: Cross multiply
   11,648x = 15,162 × 15,162
4. Step 4: Simplify right side
   11,648x = 229,886,244
5. Step 5: Solve for x
   x = 229,886,244/11,648
6. Step 6: Final answer
   x = 19,736.11