Finding the Third Proportional to 381.59 and 835.31

Step by Step Solution

1. Step 1: Write the proportion equation
   381.59 : 835.31 = 835.31 : x
2. Step 2: Convert to fraction form
   381.59/835.31 = 835.31/x
3. Step 3: Cross multiply
   381.59x = 835.31 × 835.31
4. Step 4: Simplify right side
   381.59x = 697,746.97
5. Step 5: Solve for x
   x = 697,746.97/381.59
6. Step 6: Final answer
   x = 1,828.54