Finding the Third Proportional to 19,584 and 30,024

Step by Step Solution

1. Step 1: Write the proportion equation
   19,584 : 30,024 = 30,024 : x
2. Step 2: Convert to fraction form
   19,584/30,024 = 30,024/x
3. Step 3: Cross multiply
   19,584x = 30,024 × 30,024
4. Step 4: Simplify right side
   19,584x = 901,440,576
5. Step 5: Solve for x
   x = 901,440,576/19,584
6. Step 6: Final answer
   x = 46,029.44