Finding the Third Proportional to 3,200.50 and 7,414

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.50 : 7,414 = 7,414 : x
2. Step 2: Convert to fraction form
   3,200.50/7,414 = 7,414/x
3. Step 3: Cross multiply
   3,200.50x = 7,414 × 7,414
4. Step 4: Simplify right side
   3,200.50x = 54,967,396
5. Step 5: Solve for x
   x = 54,967,396/3,200.50
6. Step 6: Final answer
   x = 17,174.63