Finding the Third Proportional to 12,504 and 19,578

Step by Step Solution

1. Step 1: Write the proportion equation
   12,504 : 19,578 = 19,578 : x
2. Step 2: Convert to fraction form
   12,504/19,578 = 19,578/x
3. Step 3: Cross multiply
   12,504x = 19,578 × 19,578
4. Step 4: Simplify right side
   12,504x = 383,298,084
5. Step 5: Solve for x
   x = 383,298,084/12,504
6. Step 6: Final answer
   x = 30,654.04