Finding the Third Proportional to 2,097.38 and 2,939.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.38 : 2,939.50 = 2,939.50 : x
2. Step 2: Convert to fraction form
   2,097.38/2,939.50 = 2,939.50/x
3. Step 3: Cross multiply
   2,097.38x = 2,939.50 × 2,939.50
4. Step 4: Simplify right side
   2,097.38x = 8,640,660.25
5. Step 5: Solve for x
   x = 8,640,660.25/2,097.38
6. Step 6: Final answer
   x = 4,119.75