Finding the Third Proportional to 20,560 and 42,578

Step by Step Solution

1. Step 1: Write the proportion equation
   20,560 : 42,578 = 42,578 : x
2. Step 2: Convert to fraction form
   20,560/42,578 = 42,578/x
3. Step 3: Cross multiply
   20,560x = 42,578 × 42,578
4. Step 4: Simplify right side
   20,560x = 1,812,886,084
5. Step 5: Solve for x
   x = 1,812,886,084/20,560
6. Step 6: Final answer
   x = 88,175.39