Finding the Third Proportional to 522 and 1,010.25

Step by Step Solution

1. Step 1: Write the proportion equation
   522 : 1,010.25 = 1,010.25 : x
2. Step 2: Convert to fraction form
   522/1,010.25 = 1,010.25/x
3. Step 3: Cross multiply
   522x = 1,010.25 × 1,010.25
4. Step 4: Simplify right side
   522x = 1,020,605.06
5. Step 5: Solve for x
   x = 1,020,605.06/522
6. Step 6: Final answer
   x = 1,955.18