Finding the Third Proportional to 21,698 and 31,724

Step by Step Solution

1. Step 1: Write the proportion equation
   21,698 : 31,724 = 31,724 : x
2. Step 2: Convert to fraction form
   21,698/31,724 = 31,724/x
3. Step 3: Cross multiply
   21,698x = 31,724 × 31,724
4. Step 4: Simplify right side
   21,698x = 1,006,412,176
5. Step 5: Solve for x
   x = 1,006,412,176/21,698
6. Step 6: Final answer
   x = 46,382.72