Finding the Third Proportional to 2,005.25 and 3,020

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.25 : 3,020 = 3,020 : x
2. Step 2: Convert to fraction form
   2,005.25/3,020 = 3,020/x
3. Step 3: Cross multiply
   2,005.25x = 3,020 × 3,020
4. Step 4: Simplify right side
   2,005.25x = 9,120,400
5. Step 5: Solve for x
   x = 9,120,400/2,005.25
6. Step 6: Final answer
   x = 4,548.26