Finding the Third Proportional to 2,182.78 and 4,711.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.78 : 4,711.78 = 4,711.78 : x
2. Step 2: Convert to fraction form
   2,182.78/4,711.78 = 4,711.78/x
3. Step 3: Cross multiply
   2,182.78x = 4,711.78 × 4,711.78
4. Step 4: Simplify right side
   2,182.78x = 22,200,882.55
5. Step 5: Solve for x
   x = 22,200,882.55/2,182.78
6. Step 6: Final answer
   x = 10,170.91