Finding the Third Proportional to 1,838.38 and 4,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.38 : 4,007.25 = 4,007.25 : x
2. Step 2: Convert to fraction form
   1,838.38/4,007.25 = 4,007.25/x
3. Step 3: Cross multiply
   1,838.38x = 4,007.25 × 4,007.25
4. Step 4: Simplify right side
   1,838.38x = 16,058,052.56
5. Step 5: Solve for x
   x = 16,058,052.56/1,838.38
6. Step 6: Final answer
   x = 8,734.92