Finding the Third Proportional to 9,578 and 13,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578 : 13,995.50 = 13,995.50 : x
2. Step 2: Convert to fraction form
   9,578/13,995.50 = 13,995.50/x
3. Step 3: Cross multiply
   9,578x = 13,995.50 × 13,995.50
4. Step 4: Simplify right side
   9,578x = 195,874,020.25
5. Step 5: Solve for x
   x = 195,874,020.25/9,578
6. Step 6: Final answer
   x = 20,450.41