Finding the Third Proportional to 522 and 1,262.25

Step by Step Solution

1. Step 1: Write the proportion equation
   522 : 1,262.25 = 1,262.25 : x
2. Step 2: Convert to fraction form
   522/1,262.25 = 1,262.25/x
3. Step 3: Cross multiply
   522x = 1,262.25 × 1,262.25
4. Step 4: Simplify right side
   522x = 1,593,275.06
5. Step 5: Solve for x
   x = 1,593,275.06/522
6. Step 6: Final answer
   x = 3,052.25