Finding the Third Proportional to 9,578.25 and 20,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.25 : 20,128.50 = 20,128.50 : x
2. Step 2: Convert to fraction form
   9,578.25/20,128.50 = 20,128.50/x
3. Step 3: Cross multiply
   9,578.25x = 20,128.50 × 20,128.50
4. Step 4: Simplify right side
   9,578.25x = 405,156,512.25
5. Step 5: Solve for x
   x = 405,156,512.25/9,578.25
6. Step 6: Final answer
   x = 42,299.64