Finding the Third Proportional to 5,685 and 10,200

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685 : 10,200 = 10,200 : x
2. Step 2: Convert to fraction form
   5,685/10,200 = 10,200/x
3. Step 3: Cross multiply
   5,685x = 10,200 × 10,200
4. Step 4: Simplify right side
   5,685x = 104,040,000
5. Step 5: Solve for x
   x = 104,040,000/5,685
6. Step 6: Final answer
   x = 18,300.79