Finding the Third Proportional to 9,162 and 19,782

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162 : 19,782 = 19,782 : x
2. Step 2: Convert to fraction form
   9,162/19,782 = 19,782/x
3. Step 3: Cross multiply
   9,162x = 19,782 × 19,782
4. Step 4: Simplify right side
   9,162x = 391,327,524
5. Step 5: Solve for x
   x = 391,327,524/9,162
6. Step 6: Final answer
   x = 42,712.02