Finding the Third Proportional to 11,616 and 21,912

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616 : 21,912 = 21,912 : x
2. Step 2: Convert to fraction form
   11,616/21,912 = 21,912/x
3. Step 3: Cross multiply
   11,616x = 21,912 × 21,912
4. Step 4: Simplify right side
   11,616x = 480,135,744
5. Step 5: Solve for x
   x = 480,135,744/11,616
6. Step 6: Final answer
   x = 41,334