Finding the Third Proportional to 2,809.50 and 5,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,809.50 : 5,266.50 = 5,266.50 : x
2. Step 2: Convert to fraction form
   2,809.50/5,266.50 = 5,266.50/x
3. Step 3: Cross multiply
   2,809.50x = 5,266.50 × 5,266.50
4. Step 4: Simplify right side
   2,809.50x = 27,736,022.25
5. Step 5: Solve for x
   x = 27,736,022.25/2,809.50
6. Step 6: Final answer
   x = 9,872.23