Finding the Third Proportional to 2,865.16 and 4,267.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,865.16 : 4,267.27 = 4,267.27 : x
2. Step 2: Convert to fraction form
   2,865.16/4,267.27 = 4,267.27/x
3. Step 3: Cross multiply
   2,865.16x = 4,267.27 × 4,267.27
4. Step 4: Simplify right side
   2,865.16x = 18,209,555.91
5. Step 5: Solve for x
   x = 18,209,555.91/2,865.16
6. Step 6: Final answer
   x = 6,355.50