Finding the Third Proportional to 9,735 and 10,695

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735 : 10,695 = 10,695 : x
2. Step 2: Convert to fraction form
   9,735/10,695 = 10,695/x
3. Step 3: Cross multiply
   9,735x = 10,695 × 10,695
4. Step 4: Simplify right side
   9,735x = 114,383,025
5. Step 5: Solve for x
   x = 114,383,025/9,735
6. Step 6: Final answer
   x = 11,749.67