Finding the Third Proportional to 3,930 and 5,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,930 : 5,507.50 = 5,507.50 : x
2. Step 2: Convert to fraction form
   3,930/5,507.50 = 5,507.50/x
3. Step 3: Cross multiply
   3,930x = 5,507.50 × 5,507.50
4. Step 4: Simplify right side
   3,930x = 30,332,556.25
5. Step 5: Solve for x
   x = 30,332,556.25/3,930
6. Step 6: Final answer
   x = 7,718.21