Finding the Third Proportional to 10,424 and 23,462

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 23,462 = 23,462 : x
2. Step 2: Convert to fraction form
   10,424/23,462 = 23,462/x
3. Step 3: Cross multiply
   10,424x = 23,462 × 23,462
4. Step 4: Simplify right side
   10,424x = 550,465,444
5. Step 5: Solve for x
   x = 550,465,444/10,424
6. Step 6: Final answer
   x = 52,807.51