Finding the Third Proportional to 6,101 and 12,661

Step by Step Solution

1. Step 1: Write the proportion equation
   6,101 : 12,661 = 12,661 : x
2. Step 2: Convert to fraction form
   6,101/12,661 = 12,661/x
3. Step 3: Cross multiply
   6,101x = 12,661 × 12,661
4. Step 4: Simplify right side
   6,101x = 160,300,921
5. Step 5: Solve for x
   x = 160,300,921/6,101
6. Step 6: Final answer
   x = 26,274.53