Finding the Third Proportional to 9,682 and 10,642

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682 : 10,642 = 10,642 : x
2. Step 2: Convert to fraction form
   9,682/10,642 = 10,642/x
3. Step 3: Cross multiply
   9,682x = 10,642 × 10,642
4. Step 4: Simplify right side
   9,682x = 113,252,164
5. Step 5: Solve for x
   x = 113,252,164/9,682
6. Step 6: Final answer
   x = 11,697.19