Finding the Third Proportional to 12,322 and 19,698

Step by Step Solution

1. Step 1: Write the proportion equation
   12,322 : 19,698 = 19,698 : x
2. Step 2: Convert to fraction form
   12,322/19,698 = 19,698/x
3. Step 3: Cross multiply
   12,322x = 19,698 × 19,698
4. Step 4: Simplify right side
   12,322x = 388,011,204
5. Step 5: Solve for x
   x = 388,011,204/12,322
6. Step 6: Final answer
   x = 31,489.30