Finding the Third Proportional to 3,200.63 and 7,414.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.63 : 7,414.31 = 7,414.31 : x
2. Step 2: Convert to fraction form
   3,200.63/7,414.31 = 7,414.31/x
3. Step 3: Cross multiply
   3,200.63x = 7,414.31 × 7,414.31
4. Step 4: Simplify right side
   3,200.63x = 54,972,029.85
5. Step 5: Solve for x
   x = 54,972,029.85/3,200.63
6. Step 6: Final answer
   x = 17,175.40