Finding the Third Proportional to 9,851 and 10,823

Step by Step Solution

1. Step 1: Write the proportion equation
   9,851 : 10,823 = 10,823 : x
2. Step 2: Convert to fraction form
   9,851/10,823 = 10,823/x
3. Step 3: Cross multiply
   9,851x = 10,823 × 10,823
4. Step 4: Simplify right side
   9,851x = 117,137,329
5. Step 5: Solve for x
   x = 117,137,329/9,851
6. Step 6: Final answer
   x = 11,890.91