Finding the Third Proportional to 2,267 and 4,806.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,267 : 4,806.25 = 4,806.25 : x
2. Step 2: Convert to fraction form
   2,267/4,806.25 = 4,806.25/x
3. Step 3: Cross multiply
   2,267x = 4,806.25 × 4,806.25
4. Step 4: Simplify right side
   2,267x = 23,100,039.06
5. Step 5: Solve for x
   x = 23,100,039.06/2,267
6. Step 6: Final answer
   x = 10,189.70