Finding the Third Proportional to 10,686 and 19,596

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 19,596 = 19,596 : x
2. Step 2: Convert to fraction form
   10,686/19,596 = 19,596/x
3. Step 3: Cross multiply
   10,686x = 19,596 × 19,596
4. Step 4: Simplify right side
   10,686x = 384,003,216
5. Step 5: Solve for x
   x = 384,003,216/10,686
6. Step 6: Final answer
   x = 35,935.17