Finding the Third Proportional to 2,178.38 and 3,287.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.38 : 3,287.81 = 3,287.81 : x
2. Step 2: Convert to fraction form
   2,178.38/3,287.81 = 3,287.81/x
3. Step 3: Cross multiply
   2,178.38x = 3,287.81 × 3,287.81
4. Step 4: Simplify right side
   2,178.38x = 10,809,711.04
5. Step 5: Solve for x
   x = 10,809,711.04/2,178.38
6. Step 6: Final answer
   x = 4,962.28