Finding the Third Proportional to 11,348 and 17,714

Step by Step Solution

1. Step 1: Write the proportion equation
   11,348 : 17,714 = 17,714 : x
2. Step 2: Convert to fraction form
   11,348/17,714 = 17,714/x
3. Step 3: Cross multiply
   11,348x = 17,714 × 17,714
4. Step 4: Simplify right side
   11,348x = 313,785,796
5. Step 5: Solve for x
   x = 313,785,796/11,348
6. Step 6: Final answer
   x = 27,651.20