Finding the Third Proportional to 2,259.75 and 3,630.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.75 : 3,630.38 = 3,630.38 : x
2. Step 2: Convert to fraction form
   2,259.75/3,630.38 = 3,630.38/x
3. Step 3: Cross multiply
   2,259.75x = 3,630.38 × 3,630.38
4. Step 4: Simplify right side
   2,259.75x = 13,179,622.64
5. Step 5: Solve for x
   x = 13,179,622.64/2,259.75
6. Step 6: Final answer
   x = 5,832.34