Finding the Third Proportional to 5,222.25 and 7,643.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,222.25 : 7,643.25 = 7,643.25 : x
2. Step 2: Convert to fraction form
   5,222.25/7,643.25 = 7,643.25/x
3. Step 3: Cross multiply
   5,222.25x = 7,643.25 × 7,643.25
4. Step 4: Simplify right side
   5,222.25x = 58,419,270.56
5. Step 5: Solve for x
   x = 58,419,270.56/5,222.25
6. Step 6: Final answer
   x = 11,186.61