Finding the Third Proportional to 3,826.50 and 5,388

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.50 : 5,388 = 5,388 : x
2. Step 2: Convert to fraction form
   3,826.50/5,388 = 5,388/x
3. Step 3: Cross multiply
   3,826.50x = 5,388 × 5,388
4. Step 4: Simplify right side
   3,826.50x = 29,030,544
5. Step 5: Solve for x
   x = 29,030,544/3,826.50
6. Step 6: Final answer
   x = 7,586.71