Finding the Third Proportional to 1,204.56 and 2,619.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.56 : 2,619.84 = 2,619.84 : x
2. Step 2: Convert to fraction form
   1,204.56/2,619.84 = 2,619.84/x
3. Step 3: Cross multiply
   1,204.56x = 2,619.84 × 2,619.84
4. Step 4: Simplify right side
   1,204.56x = 6,863,581.27
5. Step 5: Solve for x
   x = 6,863,581.27/1,204.56
6. Step 6: Final answer
   x = 5,698.01