Finding the Third Proportional to 5,241.25 and 8,086.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,241.25 : 8,086.75 = 8,086.75 : x
2. Step 2: Convert to fraction form
   5,241.25/8,086.75 = 8,086.75/x
3. Step 3: Cross multiply
   5,241.25x = 8,086.75 × 8,086.75
4. Step 4: Simplify right side
   5,241.25x = 65,395,525.56
5. Step 5: Solve for x
   x = 65,395,525.56/5,241.25
6. Step 6: Final answer
   x = 12,477.09