Finding the Third Proportional to 1,024 and 1,120

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024 : 1,120 = 1,120 : x
2. Step 2: Convert to fraction form
   1,024/1,120 = 1,120/x
3. Step 3: Cross multiply
   1,024x = 1,120 × 1,120
4. Step 4: Simplify right side
   1,024x = 1,254,400
5. Step 5: Solve for x
   x = 1,254,400/1,024
6. Step 6: Final answer
   x = 1,225