Finding the Third Proportional to 3,785.72 and 5,810.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,785.72 : 5,810.81 = 5,810.81 : x
2. Step 2: Convert to fraction form
   3,785.72/5,810.81 = 5,810.81/x
3. Step 3: Cross multiply
   3,785.72x = 5,810.81 × 5,810.81
4. Step 4: Simplify right side
   3,785.72x = 33,765,541.91
5. Step 5: Solve for x
   x = 33,765,541.91/3,785.72
6. Step 6: Final answer
   x = 8,919.19