Finding the Third Proportional to 1,282.71 and 2,806.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.71 : 2,806.52 = 2,806.52 : x
2. Step 2: Convert to fraction form
   1,282.71/2,806.52 = 2,806.52/x
3. Step 3: Cross multiply
   1,282.71x = 2,806.52 × 2,806.52
4. Step 4: Simplify right side
   1,282.71x = 7,876,573.81
5. Step 5: Solve for x
   x = 7,876,573.81/1,282.71
6. Step 6: Final answer
   x = 6,140.57