Finding the Third Proportional to 3,186 and 5,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,186 : 5,086.50 = 5,086.50 : x
2. Step 2: Convert to fraction form
   3,186/5,086.50 = 5,086.50/x
3. Step 3: Cross multiply
   3,186x = 5,086.50 × 5,086.50
4. Step 4: Simplify right side
   3,186x = 25,872,482.25
5. Step 5: Solve for x
   x = 25,872,482.25/3,186
6. Step 6: Final answer
   x = 8,120.68