Finding the Third Proportional to 2,414.81 and 4,841.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.81 : 4,841.02 = 4,841.02 : x
2. Step 2: Convert to fraction form
   2,414.81/4,841.02 = 4,841.02/x
3. Step 3: Cross multiply
   2,414.81x = 4,841.02 × 4,841.02
4. Step 4: Simplify right side
   2,414.81x = 23,435,432.28
5. Step 5: Solve for x
   x = 23,435,432.28/2,414.81
6. Step 6: Final answer
   x = 9,704.87