Finding the Third Proportional to 548.65 and 1,019.46

Step by Step Solution

1. Step 1: Write the proportion equation
   548.65 : 1,019.46 = 1,019.46 : x
2. Step 2: Convert to fraction form
   548.65/1,019.46 = 1,019.46/x
3. Step 3: Cross multiply
   548.65x = 1,019.46 × 1,019.46
4. Step 4: Simplify right side
   548.65x = 1,039,300.60
5. Step 5: Solve for x
   x = 1,039,300.60/548.65
6. Step 6: Final answer
   x = 1,894.29