Finding the Third Proportional to 3,836 and 7,540

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836 : 7,540 = 7,540 : x
2. Step 2: Convert to fraction form
   3,836/7,540 = 7,540/x
3. Step 3: Cross multiply
   3,836x = 7,540 × 7,540
4. Step 4: Simplify right side
   3,836x = 56,851,600
5. Step 5: Solve for x
   x = 56,851,600/3,836
6. Step 6: Final answer
   x = 14,820.54