Finding the Third Proportional to 10,271 and 21,829

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271 : 21,829 = 21,829 : x
2. Step 2: Convert to fraction form
   10,271/21,829 = 21,829/x
3. Step 3: Cross multiply
   10,271x = 21,829 × 21,829
4. Step 4: Simplify right side
   10,271x = 476,505,241
5. Step 5: Solve for x
   x = 476,505,241/10,271
6. Step 6: Final answer
   x = 46,393.27