Finding the Third Proportional to 9,702 and 13,860

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702 : 13,860 = 13,860 : x
2. Step 2: Convert to fraction form
   9,702/13,860 = 13,860/x
3. Step 3: Cross multiply
   9,702x = 13,860 × 13,860
4. Step 4: Simplify right side
   9,702x = 192,099,600
5. Step 5: Solve for x
   x = 192,099,600/9,702
6. Step 6: Final answer
   x = 19,800