Finding the Third Proportional to 9,024 and 19,830

Step by Step Solution

1. Step 1: Write the proportion equation
   9,024 : 19,830 = 19,830 : x
2. Step 2: Convert to fraction form
   9,024/19,830 = 19,830/x
3. Step 3: Cross multiply
   9,024x = 19,830 × 19,830
4. Step 4: Simplify right side
   9,024x = 393,228,900
5. Step 5: Solve for x
   x = 393,228,900/9,024
6. Step 6: Final answer
   x = 43,575.90