Finding the Third Proportional to 2,078 and 3,106

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078 : 3,106 = 3,106 : x
2. Step 2: Convert to fraction form
   2,078/3,106 = 3,106/x
3. Step 3: Cross multiply
   2,078x = 3,106 × 3,106
4. Step 4: Simplify right side
   2,078x = 9,647,236
5. Step 5: Solve for x
   x = 9,647,236/2,078
6. Step 6: Final answer
   x = 4,642.56