Finding the Third Proportional to 3,919 and 5,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,919 : 5,322.50 = 5,322.50 : x
2. Step 2: Convert to fraction form
   3,919/5,322.50 = 5,322.50/x
3. Step 3: Cross multiply
   3,919x = 5,322.50 × 5,322.50
4. Step 4: Simplify right side
   3,919x = 28,329,006.25
5. Step 5: Solve for x
   x = 28,329,006.25/3,919
6. Step 6: Final answer
   x = 7,228.63