Finding the Third Proportional to 7,676 and 10,238

Step by Step Solution

1. Step 1: Write the proportion equation
   7,676 : 10,238 = 10,238 : x
2. Step 2: Convert to fraction form
   7,676/10,238 = 10,238/x
3. Step 3: Cross multiply
   7,676x = 10,238 × 10,238
4. Step 4: Simplify right side
   7,676x = 104,816,644
5. Step 5: Solve for x
   x = 104,816,644/7,676
6. Step 6: Final answer
   x = 13,655.11