Finding the Third Proportional to 2,014.45 and 4,182.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.45 : 4,182.05 = 4,182.05 : x
2. Step 2: Convert to fraction form
   2,014.45/4,182.05 = 4,182.05/x
3. Step 3: Cross multiply
   2,014.45x = 4,182.05 × 4,182.05
4. Step 4: Simplify right side
   2,014.45x = 17,489,516.06
5. Step 5: Solve for x
   x = 17,489,516.06/2,014.45
6. Step 6: Final answer
   x = 8,682.02