Finding the Third Proportional to 412.25 and 900.25

Step by Step Solution

1. Step 1: Write the proportion equation
   412.25 : 900.25 = 900.25 : x
2. Step 2: Convert to fraction form
   412.25/900.25 = 900.25/x
3. Step 3: Cross multiply
   412.25x = 900.25 × 900.25
4. Step 4: Simplify right side
   412.25x = 810,450.06
5. Step 5: Solve for x
   x = 810,450.06/412.25
6. Step 6: Final answer
   x = 1,965.92