Finding the Third Proportional to 5,807 and 12,661

Step by Step Solution

1. Step 1: Write the proportion equation
   5,807 : 12,661 = 12,661 : x
2. Step 2: Convert to fraction form
   5,807/12,661 = 12,661/x
3. Step 3: Cross multiply
   5,807x = 12,661 × 12,661
4. Step 4: Simplify right side
   5,807x = 160,300,921
5. Step 5: Solve for x
   x = 160,300,921/5,807
6. Step 6: Final answer
   x = 27,604.77