Finding the Third Proportional to 2,286.56 and 4,811.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,286.56 : 4,811.06 = 4,811.06 : x
2. Step 2: Convert to fraction form
   2,286.56/4,811.06 = 4,811.06/x
3. Step 3: Cross multiply
   2,286.56x = 4,811.06 × 4,811.06
4. Step 4: Simplify right side
   2,286.56x = 23,146,322.38
5. Step 5: Solve for x
   x = 23,146,322.38/2,286.56
6. Step 6: Final answer
   x = 10,122.76