Finding the Third Proportional to 2,436 and 3,784

Step by Step Solution

1. Step 1: Write the proportion equation
   2,436 : 3,784 = 3,784 : x
2. Step 2: Convert to fraction form
   2,436/3,784 = 3,784/x
3. Step 3: Cross multiply
   2,436x = 3,784 × 3,784
4. Step 4: Simplify right side
   2,436x = 14,318,656
5. Step 5: Solve for x
   x = 14,318,656/2,436
6. Step 6: Final answer
   x = 5,877.94