Finding the Third Proportional to 520.50 and 1,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   520.50 : 1,142.25 = 1,142.25 : x
2. Step 2: Convert to fraction form
   520.50/1,142.25 = 1,142.25/x
3. Step 3: Cross multiply
   520.50x = 1,142.25 × 1,142.25
4. Step 4: Simplify right side
   520.50x = 1,304,735.06
5. Step 5: Solve for x
   x = 1,304,735.06/520.50
6. Step 6: Final answer
   x = 2,506.70