Finding the Third Proportional to 11,555 and 17,162

Step by Step Solution

1. Step 1: Write the proportion equation
   11,555 : 17,162 = 17,162 : x
2. Step 2: Convert to fraction form
   11,555/17,162 = 17,162/x
3. Step 3: Cross multiply
   11,555x = 17,162 × 17,162
4. Step 4: Simplify right side
   11,555x = 294,534,244
5. Step 5: Solve for x
   x = 294,534,244/11,555
6. Step 6: Final answer
   x = 25,489.77