Finding the Third Proportional to 9,578 and 20,880

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578 : 20,880 = 20,880 : x
2. Step 2: Convert to fraction form
   9,578/20,880 = 20,880/x
3. Step 3: Cross multiply
   9,578x = 20,880 × 20,880
4. Step 4: Simplify right side
   9,578x = 435,974,400
5. Step 5: Solve for x
   x = 435,974,400/9,578
6. Step 6: Final answer
   x = 45,518.31