Finding the Third Proportional to 10,759 and 16,616

Step by Step Solution

1. Step 1: Write the proportion equation
   10,759 : 16,616 = 16,616 : x
2. Step 2: Convert to fraction form
   10,759/16,616 = 16,616/x
3. Step 3: Cross multiply
   10,759x = 16,616 × 16,616
4. Step 4: Simplify right side
   10,759x = 276,091,456
5. Step 5: Solve for x
   x = 276,091,456/10,759
6. Step 6: Final answer
   x = 25,661.44