Finding the Third Proportional to 2,564 and 5,616

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564 : 5,616 = 5,616 : x
2. Step 2: Convert to fraction form
   2,564/5,616 = 5,616/x
3. Step 3: Cross multiply
   2,564x = 5,616 × 5,616
4. Step 4: Simplify right side
   2,564x = 31,539,456
5. Step 5: Solve for x
   x = 31,539,456/2,564
6. Step 6: Final answer
   x = 12,300.88