Finding the Third Proportional to 1,285.72 and 2,806.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,285.72 : 2,806.37 = 2,806.37 : x
2. Step 2: Convert to fraction form
   1,285.72/2,806.37 = 2,806.37/x
3. Step 3: Cross multiply
   1,285.72x = 2,806.37 × 2,806.37
4. Step 4: Simplify right side
   1,285.72x = 7,875,685.83
5. Step 5: Solve for x
   x = 7,875,685.83/1,285.72
6. Step 6: Final answer
   x = 6,125.52