Finding the Third Proportional to 2,638 and 3,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638 : 3,784.50 = 3,784.50 : x
2. Step 2: Convert to fraction form
   2,638/3,784.50 = 3,784.50/x
3. Step 3: Cross multiply
   2,638x = 3,784.50 × 3,784.50
4. Step 4: Simplify right side
   2,638x = 14,322,440.25
5. Step 5: Solve for x
   x = 14,322,440.25/2,638
6. Step 6: Final answer
   x = 5,429.28