Finding the Third Proportional to 840.38 and 1,834.31

Step by Step Solution

1. Step 1: Write the proportion equation
   840.38 : 1,834.31 = 1,834.31 : x
2. Step 2: Convert to fraction form
   840.38/1,834.31 = 1,834.31/x
3. Step 3: Cross multiply
   840.38x = 1,834.31 × 1,834.31
4. Step 4: Simplify right side
   840.38x = 3,364,702.35
5. Step 5: Solve for x
   x = 3,364,702.35/840.38
6. Step 6: Final answer
   x = 4,003.81