Finding the Third Proportional to 19,164 and 25,578

Step by Step Solution

1. Step 1: Write the proportion equation
   19,164 : 25,578 = 25,578 : x
2. Step 2: Convert to fraction form
   19,164/25,578 = 25,578/x
3. Step 3: Cross multiply
   19,164x = 25,578 × 25,578
4. Step 4: Simplify right side
   19,164x = 654,234,084
5. Step 5: Solve for x
   x = 654,234,084/19,164
6. Step 6: Final answer
   x = 34,138.70