Finding the Third Proportional to 2,173.38 and 4,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,173.38 : 4,738.25 = 4,738.25 : x
2. Step 2: Convert to fraction form
   2,173.38/4,738.25 = 4,738.25/x
3. Step 3: Cross multiply
   2,173.38x = 4,738.25 × 4,738.25
4. Step 4: Simplify right side
   2,173.38x = 22,451,013.06
5. Step 5: Solve for x
   x = 22,451,013.06/2,173.38
6. Step 6: Final answer
   x = 10,330.02