Finding the Third Proportional to 9,771 and 10,611

Step by Step Solution

1. Step 1: Write the proportion equation
   9,771 : 10,611 = 10,611 : x
2. Step 2: Convert to fraction form
   9,771/10,611 = 10,611/x
3. Step 3: Cross multiply
   9,771x = 10,611 × 10,611
4. Step 4: Simplify right side
   9,771x = 112,593,321
5. Step 5: Solve for x
   x = 112,593,321/9,771
6. Step 6: Final answer
   x = 11,523.21