Finding the Third Proportional to 3,633 and 5,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633 : 5,624.25 = 5,624.25 : x
2. Step 2: Convert to fraction form
   3,633/5,624.25 = 5,624.25/x
3. Step 3: Cross multiply
   3,633x = 5,624.25 × 5,624.25
4. Step 4: Simplify right side
   3,633x = 31,632,188.06
5. Step 5: Solve for x
   x = 31,632,188.06/3,633
6. Step 6: Final answer
   x = 8,706.91