Finding the Third Proportional to 1,205.56 and 2,642.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.56 : 2,642.31 = 2,642.31 : x
2. Step 2: Convert to fraction form
   1,205.56/2,642.31 = 2,642.31/x
3. Step 3: Cross multiply
   1,205.56x = 2,642.31 × 2,642.31
4. Step 4: Simplify right side
   1,205.56x = 6,981,815.35
5. Step 5: Solve for x
   x = 6,981,815.35/1,205.56
6. Step 6: Final answer
   x = 5,791.33