Finding the Third Proportional to 2,542 and 3,786

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542 : 3,786 = 3,786 : x
2. Step 2: Convert to fraction form
   2,542/3,786 = 3,786/x
3. Step 3: Cross multiply
   2,542x = 3,786 × 3,786
4. Step 4: Simplify right side
   2,542x = 14,333,796
5. Step 5: Solve for x
   x = 14,333,796/2,542
6. Step 6: Final answer
   x = 5,638.79