Finding the Third Proportional to 22,162 and 47,802

Step by Step Solution

1. Step 1: Write the proportion equation
   22,162 : 47,802 = 47,802 : x
2. Step 2: Convert to fraction form
   22,162/47,802 = 47,802/x
3. Step 3: Cross multiply
   22,162x = 47,802 × 47,802
4. Step 4: Simplify right side
   22,162x = 2,285,031,204
5. Step 5: Solve for x
   x = 2,285,031,204/22,162
6. Step 6: Final answer
   x = 103,105.82