Finding the Third Proportional to 1,285.72 and 1,806.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,285.72 : 1,806.84 = 1,806.84 : x
2. Step 2: Convert to fraction form
   1,285.72/1,806.84 = 1,806.84/x
3. Step 3: Cross multiply
   1,285.72x = 1,806.84 × 1,806.84
4. Step 4: Simplify right side
   1,285.72x = 3,264,663.16
5. Step 5: Solve for x
   x = 3,264,663.16/1,285.72
6. Step 6: Final answer
   x = 2,539.18