Finding the Third Proportional to 11,744 and 18,884

Step by Step Solution

1. Step 1: Write the proportion equation
   11,744 : 18,884 = 18,884 : x
2. Step 2: Convert to fraction form
   11,744/18,884 = 18,884/x
3. Step 3: Cross multiply
   11,744x = 18,884 × 18,884
4. Step 4: Simplify right side
   11,744x = 356,605,456
5. Step 5: Solve for x
   x = 356,605,456/11,744
6. Step 6: Final answer
   x = 30,364.91