Finding the Third Proportional to 9,040.50 and 19,584.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,040.50 : 19,584.56 = 19,584.56 : x
2. Step 2: Convert to fraction form
   9,040.50/19,584.56 = 19,584.56/x
3. Step 3: Cross multiply
   9,040.50x = 19,584.56 × 19,584.56
4. Step 4: Simplify right side
   9,040.50x = 383,555,088.32
5. Step 5: Solve for x
   x = 383,555,088.32/9,040.50
6. Step 6: Final answer
   x = 42,426.31