Finding the Third Proportional to 20,179 and 42,561

Step by Step Solution

1. Step 1: Write the proportion equation
   20,179 : 42,561 = 42,561 : x
2. Step 2: Convert to fraction form
   20,179/42,561 = 42,561/x
3. Step 3: Cross multiply
   20,179x = 42,561 × 42,561
4. Step 4: Simplify right side
   20,179x = 1,811,438,721
5. Step 5: Solve for x
   x = 1,811,438,721/20,179
6. Step 6: Final answer
   x = 89,768.51