Finding the Third Proportional to 1,443.38 and 2,178.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,443.38 : 2,178.06 = 2,178.06 : x
2. Step 2: Convert to fraction form
   1,443.38/2,178.06 = 2,178.06/x
3. Step 3: Cross multiply
   1,443.38x = 2,178.06 × 2,178.06
4. Step 4: Simplify right side
   1,443.38x = 4,743,956.25
5. Step 5: Solve for x
   x = 4,743,956.25/1,443.38
6. Step 6: Final answer
   x = 3,286.71