Finding the Third Proportional to 3,182.73 and 4,158.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,182.73 : 4,158.53 = 4,158.53 : x
2. Step 2: Convert to fraction form
   3,182.73/4,158.53 = 4,158.53/x
3. Step 3: Cross multiply
   3,182.73x = 4,158.53 × 4,158.53
4. Step 4: Simplify right side
   3,182.73x = 17,293,349.67
5. Step 5: Solve for x
   x = 17,293,349.67/3,182.73
6. Step 6: Final answer
   x = 5,433.49