Finding the Third Proportional to 11,748 and 17,950

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 17,950 = 17,950 : x
2. Step 2: Convert to fraction form
   11,748/17,950 = 17,950/x
3. Step 3: Cross multiply
   11,748x = 17,950 × 17,950
4. Step 4: Simplify right side
   11,748x = 322,202,500
5. Step 5: Solve for x
   x = 322,202,500/11,748
6. Step 6: Final answer
   x = 27,426.16