Finding the Third Proportional to 12,960 and 16,616

Step by Step Solution

1. Step 1: Write the proportion equation
   12,960 : 16,616 = 16,616 : x
2. Step 2: Convert to fraction form
   12,960/16,616 = 16,616/x
3. Step 3: Cross multiply
   12,960x = 16,616 × 16,616
4. Step 4: Simplify right side
   12,960x = 276,091,456
5. Step 5: Solve for x
   x = 276,091,456/12,960
6. Step 6: Final answer
   x = 21,303.35