Finding the Third Proportional to 4,826.25 and 7,216.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,826.25 : 7,216.88 = 7,216.88 : x
2. Step 2: Convert to fraction form
   4,826.25/7,216.88 = 7,216.88/x
3. Step 3: Cross multiply
   4,826.25x = 7,216.88 × 7,216.88
4. Step 4: Simplify right side
   4,826.25x = 52,083,284.77
5. Step 5: Solve for x
   x = 52,083,284.77/4,826.25
6. Step 6: Final answer
   x = 10,791.67