Finding the Third Proportional to 520 and 1,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   520 : 1,004.50 = 1,004.50 : x
2. Step 2: Convert to fraction form
   520/1,004.50 = 1,004.50/x
3. Step 3: Cross multiply
   520x = 1,004.50 × 1,004.50
4. Step 4: Simplify right side
   520x = 1,009,020.25
5. Step 5: Solve for x
   x = 1,009,020.25/520
6. Step 6: Final answer
   x = 1,940.42