Finding the Third Proportional to 2,266 and 5,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,266 : 5,222.50 = 5,222.50 : x
2. Step 2: Convert to fraction form
   2,266/5,222.50 = 5,222.50/x
3. Step 3: Cross multiply
   2,266x = 5,222.50 × 5,222.50
4. Step 4: Simplify right side
   2,266x = 27,274,506.25
5. Step 5: Solve for x
   x = 27,274,506.25/2,266
6. Step 6: Final answer
   x = 12,036.41