Finding the Third Proportional to 10,214 and 20,848

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214 : 20,848 = 20,848 : x
2. Step 2: Convert to fraction form
   10,214/20,848 = 20,848/x
3. Step 3: Cross multiply
   10,214x = 20,848 × 20,848
4. Step 4: Simplify right side
   10,214x = 434,639,104
5. Step 5: Solve for x
   x = 434,639,104/10,214
6. Step 6: Final answer
   x = 42,553.27