Finding the Third Proportional to 1,020.09 and 2,138.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.09 : 2,138.91 = 2,138.91 : x
2. Step 2: Convert to fraction form
   1,020.09/2,138.91 = 2,138.91/x
3. Step 3: Cross multiply
   1,020.09x = 2,138.91 × 2,138.91
4. Step 4: Simplify right side
   1,020.09x = 4,574,919.95
5. Step 5: Solve for x
   x = 4,574,919.95/1,020.09
6. Step 6: Final answer
   x = 4,484.80