Finding the Third Proportional to 2,281 and 3,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281 : 3,626.50 = 3,626.50 : x
2. Step 2: Convert to fraction form
   2,281/3,626.50 = 3,626.50/x
3. Step 3: Cross multiply
   2,281x = 3,626.50 × 3,626.50
4. Step 4: Simplify right side
   2,281x = 13,151,502.25
5. Step 5: Solve for x
   x = 13,151,502.25/2,281
6. Step 6: Final answer
   x = 5,765.67