Finding the Third Proportional to 1,241.58 and 2,678.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,241.58 : 2,678.04 = 2,678.04 : x
2. Step 2: Convert to fraction form
   1,241.58/2,678.04 = 2,678.04/x
3. Step 3: Cross multiply
   1,241.58x = 2,678.04 × 2,678.04
4. Step 4: Simplify right side
   1,241.58x = 7,171,912.83
5. Step 5: Solve for x
   x = 7,171,912.83/1,241.58
6. Step 6: Final answer
   x = 5,776.45