Finding the Third Proportional to 2,809.69 and 5,266.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,809.69 : 5,266.27 = 5,266.27 : x
2. Step 2: Convert to fraction form
   2,809.69/5,266.27 = 5,266.27/x
3. Step 3: Cross multiply
   2,809.69x = 5,266.27 × 5,266.27
4. Step 4: Simplify right side
   2,809.69x = 27,733,553.63
5. Step 5: Solve for x
   x = 27,733,553.63/2,809.69
6. Step 6: Final answer
   x = 9,870.69