Finding the Third Proportional to 7,162 and 10,747

Step by Step Solution

1. Step 1: Write the proportion equation
   7,162 : 10,747 = 10,747 : x
2. Step 2: Convert to fraction form
   7,162/10,747 = 10,747/x
3. Step 3: Cross multiply
   7,162x = 10,747 × 10,747
4. Step 4: Simplify right side
   7,162x = 115,498,009
5. Step 5: Solve for x
   x = 115,498,009/7,162
6. Step 6: Final answer
   x = 16,126.50