Finding the Third Proportional to 2,281.50 and 3,628.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.50 : 3,628.69 = 3,628.69 : x
2. Step 2: Convert to fraction form
   2,281.50/3,628.69 = 3,628.69/x
3. Step 3: Cross multiply
   2,281.50x = 3,628.69 × 3,628.69
4. Step 4: Simplify right side
   2,281.50x = 13,167,372.97
5. Step 5: Solve for x
   x = 13,167,372.97/2,281.50
6. Step 6: Final answer
   x = 5,771.37