Finding the Third Proportional to 5,880 and 12,661

Step by Step Solution

1. Step 1: Write the proportion equation
   5,880 : 12,661 = 12,661 : x
2. Step 2: Convert to fraction form
   5,880/12,661 = 12,661/x
3. Step 3: Cross multiply
   5,880x = 12,661 × 12,661
4. Step 4: Simplify right side
   5,880x = 160,300,921
5. Step 5: Solve for x
   x = 160,300,921/5,880
6. Step 6: Final answer
   x = 27,262.06