Finding the Third Proportional to 2,037.38 and 3,178.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,037.38 : 3,178.13 = 3,178.13 : x
2. Step 2: Convert to fraction form
   2,037.38/3,178.13 = 3,178.13/x
3. Step 3: Cross multiply
   2,037.38x = 3,178.13 × 3,178.13
4. Step 4: Simplify right side
   2,037.38x = 10,100,478.52
5. Step 5: Solve for x
   x = 10,100,478.52/2,037.38
6. Step 6: Final answer
   x = 4,957.59