Finding the Third Proportional to 3,836.25 and 5,632.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.25 : 5,632.88 = 5,632.88 : x
2. Step 2: Convert to fraction form
   3,836.25/5,632.88 = 5,632.88/x
3. Step 3: Cross multiply
   3,836.25x = 5,632.88 × 5,632.88
4. Step 4: Simplify right side
   3,836.25x = 31,729,280.77
5. Step 5: Solve for x
   x = 31,729,280.77/3,836.25
6. Step 6: Final answer
   x = 8,270.91