Finding the Third Proportional to 11,584 and 24,616

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584 : 24,616 = 24,616 : x
2. Step 2: Convert to fraction form
   11,584/24,616 = 24,616/x
3. Step 3: Cross multiply
   11,584x = 24,616 × 24,616
4. Step 4: Simplify right side
   11,584x = 605,947,456
5. Step 5: Solve for x
   x = 605,947,456/11,584
6. Step 6: Final answer
   x = 52,309