Finding the Third Proportional to 1,826.38 and 3,993.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.38 : 3,993.63 = 3,993.63 : x
2. Step 2: Convert to fraction form
   1,826.38/3,993.63 = 3,993.63/x
3. Step 3: Cross multiply
   1,826.38x = 3,993.63 × 3,993.63
4. Step 4: Simplify right side
   1,826.38x = 15,949,040.64
5. Step 5: Solve for x
   x = 15,949,040.64/1,826.38
6. Step 6: Final answer
   x = 8,732.62