Finding the Third Proportional to 2,250 and 4,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,250 : 4,561.50 = 4,561.50 : x
2. Step 2: Convert to fraction form
   2,250/4,561.50 = 4,561.50/x
3. Step 3: Cross multiply
   2,250x = 4,561.50 × 4,561.50
4. Step 4: Simplify right side
   2,250x = 20,807,282.25
5. Step 5: Solve for x
   x = 20,807,282.25/2,250
6. Step 6: Final answer
   x = 9,247.68