Finding the Third Proportional to 9,902 and 21,694

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902 : 21,694 = 21,694 : x
2. Step 2: Convert to fraction form
   9,902/21,694 = 21,694/x
3. Step 3: Cross multiply
   9,902x = 21,694 × 21,694
4. Step 4: Simplify right side
   9,902x = 470,629,636
5. Step 5: Solve for x
   x = 470,629,636/9,902
6. Step 6: Final answer
   x = 47,528.75