Finding the Third Proportional to 9,837 and 10,755

Step by Step Solution

1. Step 1: Write the proportion equation
   9,837 : 10,755 = 10,755 : x
2. Step 2: Convert to fraction form
   9,837/10,755 = 10,755/x
3. Step 3: Cross multiply
   9,837x = 10,755 × 10,755
4. Step 4: Simplify right side
   9,837x = 115,670,025
5. Step 5: Solve for x
   x = 115,670,025/9,837
6. Step 6: Final answer
   x = 11,758.67