Finding the Third Proportional to 1,024 and 1,784

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024 : 1,784 = 1,784 : x
2. Step 2: Convert to fraction form
   1,024/1,784 = 1,784/x
3. Step 3: Cross multiply
   1,024x = 1,784 × 1,784
4. Step 4: Simplify right side
   1,024x = 3,182,656
5. Step 5: Solve for x
   x = 3,182,656/1,024
6. Step 6: Final answer
   x = 3,108.06