Finding the Third Proportional to 3,636 and 5,314

Step by Step Solution

1. Step 1: Write the proportion equation
   3,636 : 5,314 = 5,314 : x
2. Step 2: Convert to fraction form
   3,636/5,314 = 5,314/x
3. Step 3: Cross multiply
   3,636x = 5,314 × 5,314
4. Step 4: Simplify right side
   3,636x = 28,238,596
5. Step 5: Solve for x
   x = 28,238,596/3,636
6. Step 6: Final answer
   x = 7,766.39