Finding the Third Proportional to 381.59 and 902.71

Step by Step Solution

1. Step 1: Write the proportion equation
   381.59 : 902.71 = 902.71 : x
2. Step 2: Convert to fraction form
   381.59/902.71 = 902.71/x
3. Step 3: Cross multiply
   381.59x = 902.71 × 902.71
4. Step 4: Simplify right side
   381.59x = 814,879.98
5. Step 5: Solve for x
   x = 814,879.98/381.59
6. Step 6: Final answer
   x = 2,135.51