Finding the Third Proportional to 3,540 and 7,786

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540 : 7,786 = 7,786 : x
2. Step 2: Convert to fraction form
   3,540/7,786 = 7,786/x
3. Step 3: Cross multiply
   3,540x = 7,786 × 7,786
4. Step 4: Simplify right side
   3,540x = 60,621,796
5. Step 5: Solve for x
   x = 60,621,796/3,540
6. Step 6: Final answer
   x = 17,124.80