Finding the Third Proportional to 2,038.38 and 4,295.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.38 : 4,295.69 = 4,295.69 : x
2. Step 2: Convert to fraction form
   2,038.38/4,295.69 = 4,295.69/x
3. Step 3: Cross multiply
   2,038.38x = 4,295.69 × 4,295.69
4. Step 4: Simplify right side
   2,038.38x = 18,452,931.10
5. Step 5: Solve for x
   x = 18,452,931.10/2,038.38
6. Step 6: Final answer
   x = 9,052.77