Finding the Third Proportional to 3,412.38 and 7,189.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,412.38 : 7,189.25 = 7,189.25 : x
2. Step 2: Convert to fraction form
   3,412.38/7,189.25 = 7,189.25/x
3. Step 3: Cross multiply
   3,412.38x = 7,189.25 × 7,189.25
4. Step 4: Simplify right side
   3,412.38x = 51,685,315.56
5. Step 5: Solve for x
   x = 51,685,315.56/3,412.38
6. Step 6: Final answer
   x = 15,146.43