Finding the Third Proportional to 1,506.75 and 3,286.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.75 : 3,286.31 = 3,286.31 : x
2. Step 2: Convert to fraction form
   1,506.75/3,286.31 = 3,286.31/x
3. Step 3: Cross multiply
   1,506.75x = 3,286.31 × 3,286.31
4. Step 4: Simplify right side
   1,506.75x = 10,799,849.85
5. Step 5: Solve for x
   x = 10,799,849.85/1,506.75
6. Step 6: Final answer
   x = 7,167.65