Finding the Third Proportional to 31,764 and 46,698

Step by Step Solution

1. Step 1: Write the proportion equation
   31,764 : 46,698 = 46,698 : x
2. Step 2: Convert to fraction form
   31,764/46,698 = 46,698/x
3. Step 3: Cross multiply
   31,764x = 46,698 × 46,698
4. Step 4: Simplify right side
   31,764x = 2,180,703,204
5. Step 5: Solve for x
   x = 2,180,703,204/31,764
6. Step 6: Final answer
   x = 68,653.29