Finding the Third Proportional to 1,582.03 and 3,176.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.03 : 3,176.72 = 3,176.72 : x
2. Step 2: Convert to fraction form
   1,582.03/3,176.72 = 3,176.72/x
3. Step 3: Cross multiply
   1,582.03x = 3,176.72 × 3,176.72
4. Step 4: Simplify right side
   1,582.03x = 10,091,542.02
5. Step 5: Solve for x
   x = 10,091,542.02/1,582.03
6. Step 6: Final answer
   x = 6,378.85