Finding the Third Proportional to 2,014.75 and 4,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.75 : 4,182.50 = 4,182.50 : x
2. Step 2: Convert to fraction form
   2,014.75/4,182.50 = 4,182.50/x
3. Step 3: Cross multiply
   2,014.75x = 4,182.50 × 4,182.50
4. Step 4: Simplify right side
   2,014.75x = 17,493,306.25
5. Step 5: Solve for x
   x = 17,493,306.25/2,014.75
6. Step 6: Final answer
   x = 8,682.62