Finding the Third Proportional to 3,434.27 and 7,765.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,434.27 : 7,765.56 = 7,765.56 : x
2. Step 2: Convert to fraction form
   3,434.27/7,765.56 = 7,765.56/x
3. Step 3: Cross multiply
   3,434.27x = 7,765.56 × 7,765.56
4. Step 4: Simplify right side
   3,434.27x = 60,303,900.27
5. Step 5: Solve for x
   x = 60,303,900.27/3,434.27
6. Step 6: Final answer
   x = 17,559.43