Finding the Third Proportional to 1,520.44 and 2,005.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,520.44 : 2,005.03 = 2,005.03 : x
2. Step 2: Convert to fraction form
   1,520.44/2,005.03 = 2,005.03/x
3. Step 3: Cross multiply
   1,520.44x = 2,005.03 × 2,005.03
4. Step 4: Simplify right side
   1,520.44x = 4,020,150.31
5. Step 5: Solve for x
   x = 4,020,150.31/1,520.44
6. Step 6: Final answer
   x = 2,644.07