Finding the Third Proportional to 1,641.38 and 2,470.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.38 : 2,470.31 = 2,470.31 : x
2. Step 2: Convert to fraction form
   1,641.38/2,470.31 = 2,470.31/x
3. Step 3: Cross multiply
   1,641.38x = 2,470.31 × 2,470.31
4. Step 4: Simplify right side
   1,641.38x = 6,102,443.85
5. Step 5: Solve for x
   x = 6,102,443.85/1,641.38
6. Step 6: Final answer
   x = 3,717.89