Finding the Third Proportional to 10,276 and 13,661

Step by Step Solution

1. Step 1: Write the proportion equation
   10,276 : 13,661 = 13,661 : x
2. Step 2: Convert to fraction form
   10,276/13,661 = 13,661/x
3. Step 3: Cross multiply
   10,276x = 13,661 × 13,661
4. Step 4: Simplify right side
   10,276x = 186,622,921
5. Step 5: Solve for x
   x = 186,622,921/10,276
6. Step 6: Final answer
   x = 18,161.05