Finding the Third Proportional to 3,786.50 and 5,714

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.50 : 5,714 = 5,714 : x
2. Step 2: Convert to fraction form
   3,786.50/5,714 = 5,714/x
3. Step 3: Cross multiply
   3,786.50x = 5,714 × 5,714
4. Step 4: Simplify right side
   3,786.50x = 32,649,796
5. Step 5: Solve for x
   x = 32,649,796/3,786.50
6. Step 6: Final answer
   x = 8,622.68