Finding the Third Proportional to 9,966 and 17,706

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966 : 17,706 = 17,706 : x
2. Step 2: Convert to fraction form
   9,966/17,706 = 17,706/x
3. Step 3: Cross multiply
   9,966x = 17,706 × 17,706
4. Step 4: Simplify right side
   9,966x = 313,502,436
5. Step 5: Solve for x
   x = 313,502,436/9,966
6. Step 6: Final answer
   x = 31,457.20