Finding the Third Proportional to 2,506.88 and 3,894.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.88 : 3,894.38 = 3,894.38 : x
2. Step 2: Convert to fraction form
   2,506.88/3,894.38 = 3,894.38/x
3. Step 3: Cross multiply
   2,506.88x = 3,894.38 × 3,894.38
4. Step 4: Simplify right side
   2,506.88x = 15,166,156.64
5. Step 5: Solve for x
   x = 15,166,156.64/2,506.88
6. Step 6: Final answer
   x = 6,049.83