Finding the Third Proportional to 825.82 and 1,862.37

Step by Step Solution

1. Step 1: Write the proportion equation
   825.82 : 1,862.37 = 1,862.37 : x
2. Step 2: Convert to fraction form
   825.82/1,862.37 = 1,862.37/x
3. Step 3: Cross multiply
   825.82x = 1,862.37 × 1,862.37
4. Step 4: Simplify right side
   825.82x = 3,468,411.54
5. Step 5: Solve for x
   x = 3,468,411.54/825.82
6. Step 6: Final answer
   x = 4,199.96