Finding the Third Proportional to 2,005.50 and 3,084

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.50 : 3,084 = 3,084 : x
2. Step 2: Convert to fraction form
   2,005.50/3,084 = 3,084/x
3. Step 3: Cross multiply
   2,005.50x = 3,084 × 3,084
4. Step 4: Simplify right side
   2,005.50x = 9,511,056
5. Step 5: Solve for x
   x = 9,511,056/2,005.50
6. Step 6: Final answer
   x = 4,742.49