Finding the Third Proportional to 5,216.25 and 7,821.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,216.25 : 7,821.38 = 7,821.38 : x
2. Step 2: Convert to fraction form
   5,216.25/7,821.38 = 7,821.38/x
3. Step 3: Cross multiply
   5,216.25x = 7,821.38 × 7,821.38
4. Step 4: Simplify right side
   5,216.25x = 61,173,906.89
5. Step 5: Solve for x
   x = 61,173,906.89/5,216.25
6. Step 6: Final answer
   x = 11,727.56