Finding the Third Proportional to 2,245 and 4,782

Step by Step Solution

1. Step 1: Write the proportion equation
   2,245 : 4,782 = 4,782 : x
2. Step 2: Convert to fraction form
   2,245/4,782 = 4,782/x
3. Step 3: Cross multiply
   2,245x = 4,782 × 4,782
4. Step 4: Simplify right side
   2,245x = 22,867,524
5. Step 5: Solve for x
   x = 22,867,524/2,245
6. Step 6: Final answer
   x = 10,185.98