Finding the Third Proportional to 19,470 and 28,578

Step by Step Solution

1. Step 1: Write the proportion equation
   19,470 : 28,578 = 28,578 : x
2. Step 2: Convert to fraction form
   19,470/28,578 = 28,578/x
3. Step 3: Cross multiply
   19,470x = 28,578 × 28,578
4. Step 4: Simplify right side
   19,470x = 816,702,084
5. Step 5: Solve for x
   x = 816,702,084/19,470
6. Step 6: Final answer
   x = 41,946.69