Finding the Third Proportional to 3,911.63 and 5,866.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,911.63 : 5,866.31 = 5,866.31 : x
2. Step 2: Convert to fraction form
   3,911.63/5,866.31 = 5,866.31/x
3. Step 3: Cross multiply
   3,911.63x = 5,866.31 × 5,866.31
4. Step 4: Simplify right side
   3,911.63x = 34,413,622.35
5. Step 5: Solve for x
   x = 34,413,622.35/3,911.63
6. Step 6: Final answer
   x = 8,797.78