Finding the Third Proportional to 2,004.75 and 5,368.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.75 : 5,368.78 = 5,368.78 : x
2. Step 2: Convert to fraction form
   2,004.75/5,368.78 = 5,368.78/x
3. Step 3: Cross multiply
   2,004.75x = 5,368.78 × 5,368.78
4. Step 4: Simplify right side
   2,004.75x = 28,823,812.11
5. Step 5: Solve for x
   x = 28,823,812.11/2,004.75
6. Step 6: Final answer
   x = 14,377.76