Finding the Third Proportional to 2,460.38 and 5,786.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,460.38 : 5,786.44 = 5,786.44 : x
2. Step 2: Convert to fraction form
   2,460.38/5,786.44 = 5,786.44/x
3. Step 3: Cross multiply
   2,460.38x = 5,786.44 × 5,786.44
4. Step 4: Simplify right side
   2,460.38x = 33,482,858.94
5. Step 5: Solve for x
   x = 33,482,858.94/2,460.38
6. Step 6: Final answer
   x = 13,608.84