Finding the Third Proportional to 3,462.75 and 7,416.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,462.75 : 7,416.56 = 7,416.56 : x
2. Step 2: Convert to fraction form
   3,462.75/7,416.56 = 7,416.56/x
3. Step 3: Cross multiply
   3,462.75x = 7,416.56 × 7,416.56
4. Step 4: Simplify right side
   3,462.75x = 55,005,399.32
5. Step 5: Solve for x
   x = 55,005,399.32/3,462.75
6. Step 6: Final answer
   x = 15,884.89