Finding the Third Proportional to 3,930.56 and 5,946.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,930.56 : 5,946.56 = 5,946.56 : x
2. Step 2: Convert to fraction form
   3,930.56/5,946.56 = 5,946.56/x
3. Step 3: Cross multiply
   3,930.56x = 5,946.56 × 5,946.56
4. Step 4: Simplify right side
   3,930.56x = 35,361,605.57
5. Step 5: Solve for x
   x = 35,361,605.57/3,930.56
6. Step 6: Final answer
   x = 8,996.58