Finding the Third Proportional to 10,132 and 20,462

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132 : 20,462 = 20,462 : x
2. Step 2: Convert to fraction form
   10,132/20,462 = 20,462/x
3. Step 3: Cross multiply
   10,132x = 20,462 × 20,462
4. Step 4: Simplify right side
   10,132x = 418,693,444
5. Step 5: Solve for x
   x = 418,693,444/10,132
6. Step 6: Final answer
   x = 41,323.87