Finding the Third Proportional to 3,827.06 and 5,911.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.06 : 5,911.31 = 5,911.31 : x
2. Step 2: Convert to fraction form
   3,827.06/5,911.31 = 5,911.31/x
3. Step 3: Cross multiply
   3,827.06x = 5,911.31 × 5,911.31
4. Step 4: Simplify right side
   3,827.06x = 34,943,615.47
5. Step 5: Solve for x
   x = 34,943,615.47/3,827.06
6. Step 6: Final answer
   x = 9,130.66