Finding the Third Proportional to 2,434 and 2,786

Step by Step Solution

1. Step 1: Write the proportion equation
   2,434 : 2,786 = 2,786 : x
2. Step 2: Convert to fraction form
   2,434/2,786 = 2,786/x
3. Step 3: Cross multiply
   2,434x = 2,786 × 2,786
4. Step 4: Simplify right side
   2,434x = 7,761,796
5. Step 5: Solve for x
   x = 7,761,796/2,434
6. Step 6: Final answer
   x = 3,188.91