Finding the Third Proportional to 839.81 and 1,834.31

Step by Step Solution

1. Step 1: Write the proportion equation
   839.81 : 1,834.31 = 1,834.31 : x
2. Step 2: Convert to fraction form
   839.81/1,834.31 = 1,834.31/x
3. Step 3: Cross multiply
   839.81x = 1,834.31 × 1,834.31
4. Step 4: Simplify right side
   839.81x = 3,364,702.35
5. Step 5: Solve for x
   x = 3,364,702.35/839.81
6. Step 6: Final answer
   x = 4,006.49