Finding the Third Proportional to 3,945.75 and 8,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,945.75 : 8,506.50 = 8,506.50 : x
2. Step 2: Convert to fraction form
   3,945.75/8,506.50 = 8,506.50/x
3. Step 3: Cross multiply
   3,945.75x = 8,506.50 × 8,506.50
4. Step 4: Simplify right side
   3,945.75x = 72,360,542.25
5. Step 5: Solve for x
   x = 72,360,542.25/3,945.75
6. Step 6: Final answer
   x = 18,338.86