Finding the Third Proportional to 10,040 and 21,462

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040 : 21,462 = 21,462 : x
2. Step 2: Convert to fraction form
   10,040/21,462 = 21,462/x
3. Step 3: Cross multiply
   10,040x = 21,462 × 21,462
4. Step 4: Simplify right side
   10,040x = 460,617,444
5. Step 5: Solve for x
   x = 460,617,444/10,040
6. Step 6: Final answer
   x = 45,878.23