Finding the Third Proportional to 2,788 and 4,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,788 : 4,238.50 = 4,238.50 : x
2. Step 2: Convert to fraction form
   2,788/4,238.50 = 4,238.50/x
3. Step 3: Cross multiply
   2,788x = 4,238.50 × 4,238.50
4. Step 4: Simplify right side
   2,788x = 17,964,882.25
5. Step 5: Solve for x
   x = 17,964,882.25/2,788
6. Step 6: Final answer
   x = 6,443.64