Finding the Third Proportional to 11,742 and 17,946

Step by Step Solution

1. Step 1: Write the proportion equation
   11,742 : 17,946 = 17,946 : x
2. Step 2: Convert to fraction form
   11,742/17,946 = 17,946/x
3. Step 3: Cross multiply
   11,742x = 17,946 × 17,946
4. Step 4: Simplify right side
   11,742x = 322,058,916
5. Step 5: Solve for x
   x = 322,058,916/11,742
6. Step 6: Final answer
   x = 27,427.94