Finding the Third Proportional to 840.05 and 1,825.83

Step by Step Solution

1. Step 1: Write the proportion equation
   840.05 : 1,825.83 = 1,825.83 : x
2. Step 2: Convert to fraction form
   840.05/1,825.83 = 1,825.83/x
3. Step 3: Cross multiply
   840.05x = 1,825.83 × 1,825.83
4. Step 4: Simplify right side
   840.05x = 3,333,648.34
5. Step 5: Solve for x
   x = 3,333,648.34/840.05
6. Step 6: Final answer
   x = 3,968.41