Finding the Third Proportional to 10,966 and 17,611

Step by Step Solution

1. Step 1: Write the proportion equation
   10,966 : 17,611 = 17,611 : x
2. Step 2: Convert to fraction form
   10,966/17,611 = 17,611/x
3. Step 3: Cross multiply
   10,966x = 17,611 × 17,611
4. Step 4: Simplify right side
   10,966x = 310,147,321
5. Step 5: Solve for x
   x = 310,147,321/10,966
6. Step 6: Final answer
   x = 28,282.63