Finding the Third Proportional to 1,456.69 and 3,171.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.69 : 3,171.56 = 3,171.56 : x
2. Step 2: Convert to fraction form
   1,456.69/3,171.56 = 3,171.56/x
3. Step 3: Cross multiply
   1,456.69x = 3,171.56 × 3,171.56
4. Step 4: Simplify right side
   1,456.69x = 10,058,808.69
5. Step 5: Solve for x
   x = 10,058,808.69/1,456.69
6. Step 6: Final answer
   x = 6,905.26