Finding the Third Proportional to 3,086.50 and 5,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,086.50 : 5,014.50 = 5,014.50 : x
2. Step 2: Convert to fraction form
   3,086.50/5,014.50 = 5,014.50/x
3. Step 3: Cross multiply
   3,086.50x = 5,014.50 × 5,014.50
4. Step 4: Simplify right side
   3,086.50x = 25,145,210.25
5. Step 5: Solve for x
   x = 25,145,210.25/3,086.50
6. Step 6: Final answer
   x = 8,146.84