Finding the Third Proportional to 2,584 and 3,792

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584 : 3,792 = 3,792 : x
2. Step 2: Convert to fraction form
   2,584/3,792 = 3,792/x
3. Step 3: Cross multiply
   2,584x = 3,792 × 3,792
4. Step 4: Simplify right side
   2,584x = 14,379,264
5. Step 5: Solve for x
   x = 14,379,264/2,584
6. Step 6: Final answer
   x = 5,564.73