Finding the Third Proportional to 2,046 and 3,078

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046 : 3,078 = 3,078 : x
2. Step 2: Convert to fraction form
   2,046/3,078 = 3,078/x
3. Step 3: Cross multiply
   2,046x = 3,078 × 3,078
4. Step 4: Simplify right side
   2,046x = 9,474,084
5. Step 5: Solve for x
   x = 9,474,084/2,046
6. Step 6: Final answer
   x = 4,630.54