Finding the Third Proportional to 9,846 and 10,830

Step by Step Solution

1. Step 1: Write the proportion equation
   9,846 : 10,830 = 10,830 : x
2. Step 2: Convert to fraction form
   9,846/10,830 = 10,830/x
3. Step 3: Cross multiply
   9,846x = 10,830 × 10,830
4. Step 4: Simplify right side
   9,846x = 117,288,900
5. Step 5: Solve for x
   x = 117,288,900/9,846
6. Step 6: Final answer
   x = 11,912.34