Finding the Third Proportional to 9,825 and 10,743

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825 : 10,743 = 10,743 : x
2. Step 2: Convert to fraction form
   9,825/10,743 = 10,743/x
3. Step 3: Cross multiply
   9,825x = 10,743 × 10,743
4. Step 4: Simplify right side
   9,825x = 115,412,049
5. Step 5: Solve for x
   x = 115,412,049/9,825
6. Step 6: Final answer
   x = 11,746.77