Finding the Third Proportional to 3,322.69 and 4,507.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,322.69 : 4,507.31 = 4,507.31 : x
2. Step 2: Convert to fraction form
   3,322.69/4,507.31 = 4,507.31/x
3. Step 3: Cross multiply
   3,322.69x = 4,507.31 × 4,507.31
4. Step 4: Simplify right side
   3,322.69x = 20,315,865.97
5. Step 5: Solve for x
   x = 20,315,865.97/3,322.69
6. Step 6: Final answer
   x = 6,114.29