Finding the Third Proportional to 11,538 and 17,856

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 17,856 = 17,856 : x
2. Step 2: Convert to fraction form
   11,538/17,856 = 17,856/x
3. Step 3: Cross multiply
   11,538x = 17,856 × 17,856
4. Step 4: Simplify right side
   11,538x = 318,836,736
5. Step 5: Solve for x
   x = 318,836,736/11,538
6. Step 6: Final answer
   x = 27,633.62