Finding the Third Proportional to 1,470.38 and 2,331.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.38 : 2,331.56 = 2,331.56 : x
2. Step 2: Convert to fraction form
   1,470.38/2,331.56 = 2,331.56/x
3. Step 3: Cross multiply
   1,470.38x = 2,331.56 × 2,331.56
4. Step 4: Simplify right side
   1,470.38x = 5,436,183.69
5. Step 5: Solve for x
   x = 5,436,183.69/1,470.38
6. Step 6: Final answer
   x = 3,697.14