Finding the Third Proportional to 2,266.50 and 5,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,266.50 : 5,290.50 = 5,290.50 : x
2. Step 2: Convert to fraction form
   2,266.50/5,290.50 = 5,290.50/x
3. Step 3: Cross multiply
   2,266.50x = 5,290.50 × 5,290.50
4. Step 4: Simplify right side
   2,266.50x = 27,989,390.25
5. Step 5: Solve for x
   x = 27,989,390.25/2,266.50
6. Step 6: Final answer
   x = 12,349.17