Finding the Third Proportional to 21,600 and 31,698

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 31,698 = 31,698 : x
2. Step 2: Convert to fraction form
   21,600/31,698 = 31,698/x
3. Step 3: Cross multiply
   21,600x = 31,698 × 31,698
4. Step 4: Simplify right side
   21,600x = 1,004,763,204
5. Step 5: Solve for x
   x = 1,004,763,204/21,600
6. Step 6: Final answer
   x = 46,516.82