Finding the Third Proportional to 10,026 and 21,004

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 21,004 = 21,004 : x
2. Step 2: Convert to fraction form
   10,026/21,004 = 21,004/x
3. Step 3: Cross multiply
   10,026x = 21,004 × 21,004
4. Step 4: Simplify right side
   10,026x = 441,168,016
5. Step 5: Solve for x
   x = 441,168,016/10,026
6. Step 6: Final answer
   x = 44,002.40