Finding the Third Proportional to 3,214.50 and 7,468.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,214.50 : 7,468.75 = 7,468.75 : x
2. Step 2: Convert to fraction form
   3,214.50/7,468.75 = 7,468.75/x
3. Step 3: Cross multiply
   3,214.50x = 7,468.75 × 7,468.75
4. Step 4: Simplify right side
   3,214.50x = 55,782,226.56
5. Step 5: Solve for x
   x = 55,782,226.56/3,214.50
6. Step 6: Final answer
   x = 17,353.31