Finding the Third Proportional to 3,186 and 5,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,186 : 5,575.50 = 5,575.50 : x
2. Step 2: Convert to fraction form
   3,186/5,575.50 = 5,575.50/x
3. Step 3: Cross multiply
   3,186x = 5,575.50 × 5,575.50
4. Step 4: Simplify right side
   3,186x = 31,086,200.25
5. Step 5: Solve for x
   x = 31,086,200.25/3,186
6. Step 6: Final answer
   x = 9,757.13