Finding the Third Proportional to 9,578 and 21,042

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578 : 21,042 = 21,042 : x
2. Step 2: Convert to fraction form
   9,578/21,042 = 21,042/x
3. Step 3: Cross multiply
   9,578x = 21,042 × 21,042
4. Step 4: Simplify right side
   9,578x = 442,765,764
5. Step 5: Solve for x
   x = 442,765,764/9,578
6. Step 6: Final answer
   x = 46,227.37