Finding the Third Proportional to 11,384 and 17,708

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384 : 17,708 = 17,708 : x
2. Step 2: Convert to fraction form
   11,384/17,708 = 17,708/x
3. Step 3: Cross multiply
   11,384x = 17,708 × 17,708
4. Step 4: Simplify right side
   11,384x = 313,573,264
5. Step 5: Solve for x
   x = 313,573,264/11,384
6. Step 6: Final answer
   x = 27,545.09