Finding the Third Proportional to 5,624.25 and 13,020.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,624.25 : 13,020.38 = 13,020.38 : x
2. Step 2: Convert to fraction form
   5,624.25/13,020.38 = 13,020.38/x
3. Step 3: Cross multiply
   5,624.25x = 13,020.38 × 13,020.38
4. Step 4: Simplify right side
   5,624.25x = 169,530,165.14
5. Step 5: Solve for x
   x = 169,530,165.14/5,624.25
6. Step 6: Final answer
   x = 30,142.72