Finding the Third Proportional to 3,403.50 and 7,470.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,403.50 : 7,470.75 = 7,470.75 : x
2. Step 2: Convert to fraction form
   3,403.50/7,470.75 = 7,470.75/x
3. Step 3: Cross multiply
   3,403.50x = 7,470.75 × 7,470.75
4. Step 4: Simplify right side
   3,403.50x = 55,812,105.56
5. Step 5: Solve for x
   x = 55,812,105.56/3,403.50
6. Step 6: Final answer
   x = 16,398.44