Finding the Third Proportional to 9,578 and 20,092

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578 : 20,092 = 20,092 : x
2. Step 2: Convert to fraction form
   9,578/20,092 = 20,092/x
3. Step 3: Cross multiply
   9,578x = 20,092 × 20,092
4. Step 4: Simplify right side
   9,578x = 403,688,464
5. Step 5: Solve for x
   x = 403,688,464/9,578
6. Step 6: Final answer
   x = 42,147.47