Finding the Third Proportional to 900 and 1,145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   900 : 1,145.25 = 1,145.25 : x
2. Step 2: Convert to fraction form
   900/1,145.25 = 1,145.25/x
3. Step 3: Cross multiply
   900x = 1,145.25 × 1,145.25
4. Step 4: Simplify right side
   900x = 1,311,597.56
5. Step 5: Solve for x
   x = 1,311,597.56/900
6. Step 6: Final answer
   x = 1,457.33