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

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214 : 10,214 = 10,214 : x
2. Step 2: Convert to fraction form
   10,214/10,214 = 10,214/x
3. Step 3: Cross multiply
   10,214x = 10,214 × 10,214
4. Step 4: Simplify right side
   10,214x = 104,325,796
5. Step 5: Solve for x
   x = 104,325,796/10,214
6. Step 6: Final answer
   x = 10,214