Finding the Third Proportional to 9,996 and 17,814

Step by Step Solution

1. Step 1: Write the proportion equation
   9,996 : 17,814 = 17,814 : x
2. Step 2: Convert to fraction form
   9,996/17,814 = 17,814/x
3. Step 3: Cross multiply
   9,996x = 17,814 × 17,814
4. Step 4: Simplify right side
   9,996x = 317,338,596
5. Step 5: Solve for x
   x = 317,338,596/9,996
6. Step 6: Final answer
   x = 31,746.56