Finding the Third Proportional to 19,578 and 41,928

Step by Step Solution

1. Step 1: Write the proportion equation
   19,578 : 41,928 = 41,928 : x
2. Step 2: Convert to fraction form
   19,578/41,928 = 41,928/x
3. Step 3: Cross multiply
   19,578x = 41,928 × 41,928
4. Step 4: Simplify right side
   19,578x = 1,757,957,184
5. Step 5: Solve for x
   x = 1,757,957,184/19,578
6. Step 6: Final answer
   x = 89,792.48