Finding the Third Proportional to 9,682 and 21,124

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682 : 21,124 = 21,124 : x
2. Step 2: Convert to fraction form
   9,682/21,124 = 21,124/x
3. Step 3: Cross multiply
   9,682x = 21,124 × 21,124
4. Step 4: Simplify right side
   9,682x = 446,223,376
5. Step 5: Solve for x
   x = 446,223,376/9,682
6. Step 6: Final answer
   x = 46,087.93