Finding the Third Proportional to 2,011.50 and 4,291.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,011.50 : 4,291.31 = 4,291.31 : x
2. Step 2: Convert to fraction form
   2,011.50/4,291.31 = 4,291.31/x
3. Step 3: Cross multiply
   2,011.50x = 4,291.31 × 4,291.31
4. Step 4: Simplify right side
   2,011.50x = 18,415,362.97
5. Step 5: Solve for x
   x = 18,415,362.97/2,011.50
6. Step 6: Final answer
   x = 9,155.04