Finding the Third Proportional to 1,944.75 and 4,329.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,944.75 : 4,329.38 = 4,329.38 : x
2. Step 2: Convert to fraction form
   1,944.75/4,329.38 = 4,329.38/x
3. Step 3: Cross multiply
   1,944.75x = 4,329.38 × 4,329.38
4. Step 4: Simplify right side
   1,944.75x = 18,743,487.89
5. Step 5: Solve for x
   x = 18,743,487.89/1,944.75
6. Step 6: Final answer
   x = 9,637.99