Finding the Third Proportional to 11,441 and 17,687

Step by Step Solution

1. Step 1: Write the proportion equation
   11,441 : 17,687 = 17,687 : x
2. Step 2: Convert to fraction form
   11,441/17,687 = 17,687/x
3. Step 3: Cross multiply
   11,441x = 17,687 × 17,687
4. Step 4: Simplify right side
   11,441x = 312,829,969
5. Step 5: Solve for x
   x = 312,829,969/11,441
6. Step 6: Final answer
   x = 27,342.89