Finding the Third Proportional to 2,020 and 4,564

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020 : 4,564 = 4,564 : x
2. Step 2: Convert to fraction form
   2,020/4,564 = 4,564/x
3. Step 3: Cross multiply
   2,020x = 4,564 × 4,564
4. Step 4: Simplify right side
   2,020x = 20,830,096
5. Step 5: Solve for x
   x = 20,830,096/2,020
6. Step 6: Final answer
   x = 10,311.93