Finding the Third Proportional to 10,266 and 13,707

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266 : 13,707 = 13,707 : x
2. Step 2: Convert to fraction form
   10,266/13,707 = 13,707/x
3. Step 3: Cross multiply
   10,266x = 13,707 × 13,707
4. Step 4: Simplify right side
   10,266x = 187,881,849
5. Step 5: Solve for x
   x = 187,881,849/10,266
6. Step 6: Final answer
   x = 18,301.37