Finding the Third Proportional to 42,162 and 56,419

Step by Step Solution

1. Step 1: Write the proportion equation
   42,162 : 56,419 = 56,419 : x
2. Step 2: Convert to fraction form
   42,162/56,419 = 56,419/x
3. Step 3: Cross multiply
   42,162x = 56,419 × 56,419
4. Step 4: Simplify right side
   42,162x = 3,183,103,561
5. Step 5: Solve for x
   x = 3,183,103,561/42,162
6. Step 6: Final answer
   x = 75,496.98