Finding the Third Proportional to 13,815 and 31,698

Step by Step Solution

1. Step 1: Write the proportion equation
   13,815 : 31,698 = 31,698 : x
2. Step 2: Convert to fraction form
   13,815/31,698 = 31,698/x
3. Step 3: Cross multiply
   13,815x = 31,698 × 31,698
4. Step 4: Simplify right side
   13,815x = 1,004,763,204
5. Step 5: Solve for x
   x = 1,004,763,204/13,815
6. Step 6: Final answer
   x = 72,729.87