Finding the Third Proportional to 2,206.41 and 4,814.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206.41 : 4,814.72 = 4,814.72 : x
2. Step 2: Convert to fraction form
   2,206.41/4,814.72 = 4,814.72/x
3. Step 3: Cross multiply
   2,206.41x = 4,814.72 × 4,814.72
4. Step 4: Simplify right side
   2,206.41x = 23,181,516.64
5. Step 5: Solve for x
   x = 23,181,516.64/2,206.41
6. Step 6: Final answer
   x = 10,506.46