Finding the Third Proportional to 13,569 and 20,616

Step by Step Solution

1. Step 1: Write the proportion equation
   13,569 : 20,616 = 20,616 : x
2. Step 2: Convert to fraction form
   13,569/20,616 = 20,616/x
3. Step 3: Cross multiply
   13,569x = 20,616 × 20,616
4. Step 4: Simplify right side
   13,569x = 425,019,456
5. Step 5: Solve for x
   x = 425,019,456/13,569
6. Step 6: Final answer
   x = 31,322.83