Finding the Third Proportional to 10,340 and 21,848

Step by Step Solution

1. Step 1: Write the proportion equation
   10,340 : 21,848 = 21,848 : x
2. Step 2: Convert to fraction form
   10,340/21,848 = 21,848/x
3. Step 3: Cross multiply
   10,340x = 21,848 × 21,848
4. Step 4: Simplify right side
   10,340x = 477,335,104
5. Step 5: Solve for x
   x = 477,335,104/10,340
6. Step 6: Final answer
   x = 46,163.94