Finding the Third Proportional to 9,966 and 13,131

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966 : 13,131 = 13,131 : x
2. Step 2: Convert to fraction form
   9,966/13,131 = 13,131/x
3. Step 3: Cross multiply
   9,966x = 13,131 × 13,131
4. Step 4: Simplify right side
   9,966x = 172,423,161
5. Step 5: Solve for x
   x = 172,423,161/9,966
6. Step 6: Final answer
   x = 17,301.14