Finding the Third Proportional to 2,020 and 2,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,020 : 2,384.50 = 2,384.50 : x
2. Step 2: Convert to fraction form
   2,020/2,384.50 = 2,384.50/x
3. Step 3: Cross multiply
   2,020x = 2,384.50 × 2,384.50
4. Step 4: Simplify right side
   2,020x = 5,685,840.25
5. Step 5: Solve for x
   x = 5,685,840.25/2,020
6. Step 6: Final answer
   x = 2,814.77