Finding the Third Proportional to 19,768.50 and 42,561

Step by Step Solution

1. Step 1: Write the proportion equation
   19,768.50 : 42,561 = 42,561 : x
2. Step 2: Convert to fraction form
   19,768.50/42,561 = 42,561/x
3. Step 3: Cross multiply
   19,768.50x = 42,561 × 42,561
4. Step 4: Simplify right side
   19,768.50x = 1,811,438,721
5. Step 5: Solve for x
   x = 1,811,438,721/19,768.50
6. Step 6: Final answer
   x = 91,632.58