Finding the Third Proportional to 1,289.06 and 1,821.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,289.06 : 1,821.56 = 1,821.56 : x
2. Step 2: Convert to fraction form
   1,289.06/1,821.56 = 1,821.56/x
3. Step 3: Cross multiply
   1,289.06x = 1,821.56 × 1,821.56
4. Step 4: Simplify right side
   1,289.06x = 3,318,089.94
5. Step 5: Solve for x
   x = 3,318,089.94/1,289.06
6. Step 6: Final answer
   x = 2,574.03