Finding the Third Proportional to 11,384 and 17,718

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384 : 17,718 = 17,718 : x
2. Step 2: Convert to fraction form
   11,384/17,718 = 17,718/x
3. Step 3: Cross multiply
   11,384x = 17,718 × 17,718
4. Step 4: Simplify right side
   11,384x = 313,927,524
5. Step 5: Solve for x
   x = 313,927,524/11,384
6. Step 6: Final answer
   x = 27,576.21