Finding the Third Proportional to 2,505.30 and 3,894.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.30 : 3,894.33 = 3,894.33 : x
2. Step 2: Convert to fraction form
   2,505.30/3,894.33 = 3,894.33/x
3. Step 3: Cross multiply
   2,505.30x = 3,894.33 × 3,894.33
4. Step 4: Simplify right side
   2,505.30x = 15,165,791.55
5. Step 5: Solve for x
   x = 15,165,791.55/2,505.30
6. Step 6: Final answer
   x = 6,053.47