Finding the Third Proportional to 5,724 and 12,030

Step by Step Solution

1. Step 1: Write the proportion equation
   5,724 : 12,030 = 12,030 : x
2. Step 2: Convert to fraction form
   5,724/12,030 = 12,030/x
3. Step 3: Cross multiply
   5,724x = 12,030 × 12,030
4. Step 4: Simplify right side
   5,724x = 144,720,900
5. Step 5: Solve for x
   x = 144,720,900/5,724
6. Step 6: Final answer
   x = 25,283.18