Finding the Third Proportional to 11,748 and 17,922

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 17,922 = 17,922 : x
2. Step 2: Convert to fraction form
   11,748/17,922 = 17,922/x
3. Step 3: Cross multiply
   11,748x = 17,922 × 17,922
4. Step 4: Simplify right side
   11,748x = 321,198,084
5. Step 5: Solve for x
   x = 321,198,084/11,748
6. Step 6: Final answer
   x = 27,340.66