Finding the Third Proportional to 9,777 and 10,785

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777 : 10,785 = 10,785 : x
2. Step 2: Convert to fraction form
   9,777/10,785 = 10,785/x
3. Step 3: Cross multiply
   9,777x = 10,785 × 10,785
4. Step 4: Simplify right side
   9,777x = 116,316,225
5. Step 5: Solve for x
   x = 116,316,225/9,777
6. Step 6: Final answer
   x = 11,896.92