Finding the Third Proportional to 522.50 and 1,033

Step by Step Solution

1. Step 1: Write the proportion equation
   522.50 : 1,033 = 1,033 : x
2. Step 2: Convert to fraction form
   522.50/1,033 = 1,033/x
3. Step 3: Cross multiply
   522.50x = 1,033 × 1,033
4. Step 4: Simplify right side
   522.50x = 1,067,089
5. Step 5: Solve for x
   x = 1,067,089/522.50
6. Step 6: Final answer
   x = 2,042.28