Finding the Third Proportional to 10,181 and 21,649

Step by Step Solution

1. Step 1: Write the proportion equation
   10,181 : 21,649 = 21,649 : x
2. Step 2: Convert to fraction form
   10,181/21,649 = 21,649/x
3. Step 3: Cross multiply
   10,181x = 21,649 × 21,649
4. Step 4: Simplify right side
   10,181x = 468,679,201
5. Step 5: Solve for x
   x = 468,679,201/10,181
6. Step 6: Final answer
   x = 46,034.69