Finding the Third Proportional to 5,624 and 13,028

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624 : 13,028 = 13,028 : x
2. Step 2: Convert to fraction form
   5,624/13,028 = 13,028/x
3. Step 3: Cross multiply
   5,624x = 13,028 × 13,028
4. Step 4: Simplify right side
   5,624x = 169,728,784
5. Step 5: Solve for x
   x = 169,728,784/5,624
6. Step 6: Final answer
   x = 30,179.37