Finding the Third Proportional to 2,414.81 and 4,653.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.81 : 4,653.07 = 4,653.07 : x
2. Step 2: Convert to fraction form
   2,414.81/4,653.07 = 4,653.07/x
3. Step 3: Cross multiply
   2,414.81x = 4,653.07 × 4,653.07
4. Step 4: Simplify right side
   2,414.81x = 21,651,063.33
5. Step 5: Solve for x
   x = 21,651,063.33/2,414.81
6. Step 6: Final answer
   x = 8,965.94