Finding the Third Proportional to 2,161.69 and 2,806.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,161.69 : 2,806.31 = 2,806.31 : x
2. Step 2: Convert to fraction form
   2,161.69/2,806.31 = 2,806.31/x
3. Step 3: Cross multiply
   2,161.69x = 2,806.31 × 2,806.31
4. Step 4: Simplify right side
   2,161.69x = 7,875,389.85
5. Step 5: Solve for x
   x = 7,875,389.85/2,161.69
6. Step 6: Final answer
   x = 3,643.17