Finding the Third Proportional to 952.25 and 1,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   952.25 : 1,456.25 = 1,456.25 : x
2. Step 2: Convert to fraction form
   952.25/1,456.25 = 1,456.25/x
3. Step 3: Cross multiply
   952.25x = 1,456.25 × 1,456.25
4. Step 4: Simplify right side
   952.25x = 2,120,664.06
5. Step 5: Solve for x
   x = 2,120,664.06/952.25
6. Step 6: Final answer
   x = 2,227.00