Finding the Third Proportional to 9,229.50 and 19,771.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,229.50 : 19,771.31 = 19,771.31 : x
2. Step 2: Convert to fraction form
   9,229.50/19,771.31 = 19,771.31/x
3. Step 3: Cross multiply
   9,229.50x = 19,771.31 × 19,771.31
4. Step 4: Simplify right side
   9,229.50x = 390,904,797.97
5. Step 5: Solve for x
   x = 390,904,797.97/9,229.50
6. Step 6: Final answer
   x = 42,353.84