Finding the Third Proportional to 9,891 and 10,683

Step by Step Solution

1. Step 1: Write the proportion equation
   9,891 : 10,683 = 10,683 : x
2. Step 2: Convert to fraction form
   9,891/10,683 = 10,683/x
3. Step 3: Cross multiply
   9,891x = 10,683 × 10,683
4. Step 4: Simplify right side
   9,891x = 114,126,489
5. Step 5: Solve for x
   x = 114,126,489/9,891
6. Step 6: Final answer
   x = 11,538.42