Finding the Third Proportional to 3,278.50 and 5,199.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,278.50 : 5,199.31 = 5,199.31 : x
2. Step 2: Convert to fraction form
   3,278.50/5,199.31 = 5,199.31/x
3. Step 3: Cross multiply
   3,278.50x = 5,199.31 × 5,199.31
4. Step 4: Simplify right side
   3,278.50x = 27,032,850.47
5. Step 5: Solve for x
   x = 27,032,850.47/3,278.50
6. Step 6: Final answer
   x = 8,245.49