Finding the Third Proportional to 11,441 and 17,192

Step by Step Solution

1. Step 1: Write the proportion equation
   11,441 : 17,192 = 17,192 : x
2. Step 2: Convert to fraction form
   11,441/17,192 = 17,192/x
3. Step 3: Cross multiply
   11,441x = 17,192 × 17,192
4. Step 4: Simplify right side
   11,441x = 295,564,864
5. Step 5: Solve for x
   x = 295,564,864/11,441
6. Step 6: Final answer
   x = 25,833.83