Finding the Third Proportional to 3,810.38 and 5,891.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,810.38 : 5,891.06 = 5,891.06 : x
2. Step 2: Convert to fraction form
   3,810.38/5,891.06 = 5,891.06/x
3. Step 3: Cross multiply
   3,810.38x = 5,891.06 × 5,891.06
4. Step 4: Simplify right side
   3,810.38x = 34,704,617.38
5. Step 5: Solve for x
   x = 34,704,617.38/3,810.38
6. Step 6: Final answer
   x = 9,107.93