Finding the Third Proportional to 1,959.82 and 4,185.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,959.82 : 4,185.42 = 4,185.42 : x
2. Step 2: Convert to fraction form
   1,959.82/4,185.42 = 4,185.42/x
3. Step 3: Cross multiply
   1,959.82x = 4,185.42 × 4,185.42
4. Step 4: Simplify right side
   1,959.82x = 17,517,756.27
5. Step 5: Solve for x
   x = 17,517,756.27/1,959.82
6. Step 6: Final answer
   x = 8,938.45