Finding the Third Proportional to 21,680 and 31,694

Step by Step Solution

1. Step 1: Write the proportion equation
   21,680 : 31,694 = 31,694 : x
2. Step 2: Convert to fraction form
   21,680/31,694 = 31,694/x
3. Step 3: Cross multiply
   21,680x = 31,694 × 31,694
4. Step 4: Simplify right side
   21,680x = 1,004,509,636
5. Step 5: Solve for x
   x = 1,004,509,636/21,680
6. Step 6: Final answer
   x = 46,333.47