Finding the Third Proportional to 3,204.56 and 4,942.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,204.56 : 4,942.69 = 4,942.69 : x
2. Step 2: Convert to fraction form
   3,204.56/4,942.69 = 4,942.69/x
3. Step 3: Cross multiply
   3,204.56x = 4,942.69 × 4,942.69
4. Step 4: Simplify right side
   3,204.56x = 24,430,159.72
5. Step 5: Solve for x
   x = 24,430,159.72/3,204.56
6. Step 6: Final answer
   x = 7,623.56