Finding the Third Proportional to 3,171.56 and 4,507.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,171.56 : 4,507.83 = 4,507.83 : x
2. Step 2: Convert to fraction form
   3,171.56/4,507.83 = 4,507.83/x
3. Step 3: Cross multiply
   3,171.56x = 4,507.83 × 4,507.83
4. Step 4: Simplify right side
   3,171.56x = 20,320,514.40
5. Step 5: Solve for x
   x = 20,320,514.40/3,171.56
6. Step 6: Final answer
   x = 6,407.10