Finding the Third Proportional to 9,771 and 10,731

Step by Step Solution

1. Step 1: Write the proportion equation
   9,771 : 10,731 = 10,731 : x
2. Step 2: Convert to fraction form
   9,771/10,731 = 10,731/x
3. Step 3: Cross multiply
   9,771x = 10,731 × 10,731
4. Step 4: Simplify right side
   9,771x = 115,154,361
5. Step 5: Solve for x
   x = 115,154,361/9,771
6. Step 6: Final answer
   x = 11,785.32