Finding the Third Proportional to 2,504 and 5,795.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504 : 5,795.75 = 5,795.75 : x
2. Step 2: Convert to fraction form
   2,504/5,795.75 = 5,795.75/x
3. Step 3: Cross multiply
   2,504x = 5,795.75 × 5,795.75
4. Step 4: Simplify right side
   2,504x = 33,590,718.06
5. Step 5: Solve for x
   x = 33,590,718.06/2,504
6. Step 6: Final answer
   x = 13,414.82