Finding the Third Proportional to 1,648 and 3,584

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648 : 3,584 = 3,584 : x
2. Step 2: Convert to fraction form
   1,648/3,584 = 3,584/x
3. Step 3: Cross multiply
   1,648x = 3,584 × 3,584
4. Step 4: Simplify right side
   1,648x = 12,845,056
5. Step 5: Solve for x
   x = 12,845,056/1,648
6. Step 6: Final answer
   x = 7,794.33