Finding the Third Proportional to 2,307 and 4,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307 : 4,002.56 = 4,002.56 : x
2. Step 2: Convert to fraction form
   2,307/4,002.56 = 4,002.56/x
3. Step 3: Cross multiply
   2,307x = 4,002.56 × 4,002.56
4. Step 4: Simplify right side
   2,307x = 16,020,506.57
5. Step 5: Solve for x
   x = 16,020,506.57/2,307
6. Step 6: Final answer
   x = 6,944.30