Finding the Third Proportional to 1,582.31 and 3,119.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.31 : 3,119.06 = 3,119.06 : x
2. Step 2: Convert to fraction form
   1,582.31/3,119.06 = 3,119.06/x
3. Step 3: Cross multiply
   1,582.31x = 3,119.06 × 3,119.06
4. Step 4: Simplify right side
   1,582.31x = 9,728,550.88
5. Step 5: Solve for x
   x = 9,728,550.88/1,582.31
6. Step 6: Final answer
   x = 6,148.31