Finding the Third Proportional to 2,608 and 3,784

Step by Step Solution

1. Step 1: Write the proportion equation
   2,608 : 3,784 = 3,784 : x
2. Step 2: Convert to fraction form
   2,608/3,784 = 3,784/x
3. Step 3: Cross multiply
   2,608x = 3,784 × 3,784
4. Step 4: Simplify right side
   2,608x = 14,318,656
5. Step 5: Solve for x
   x = 14,318,656/2,608
6. Step 6: Final answer
   x = 5,490.28