Finding the Third Proportional to 11,744 and 20,884

Step by Step Solution

1. Step 1: Write the proportion equation
   11,744 : 20,884 = 20,884 : x
2. Step 2: Convert to fraction form
   11,744/20,884 = 20,884/x
3. Step 3: Cross multiply
   11,744x = 20,884 × 20,884
4. Step 4: Simplify right side
   11,744x = 436,141,456
5. Step 5: Solve for x
   x = 436,141,456/11,744
6. Step 6: Final answer
   x = 37,137.39