Finding the Third Proportional to 7,840 and 10,200

Step by Step Solution

1. Step 1: Write the proportion equation
   7,840 : 10,200 = 10,200 : x
2. Step 2: Convert to fraction form
   7,840/10,200 = 10,200/x
3. Step 3: Cross multiply
   7,840x = 10,200 × 10,200
4. Step 4: Simplify right side
   7,840x = 104,040,000
5. Step 5: Solve for x
   x = 104,040,000/7,840
6. Step 6: Final answer
   x = 13,270.41