Finding the Third Proportional to 6,402 and 12,462

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402 : 12,462 = 12,462 : x
2. Step 2: Convert to fraction form
   6,402/12,462 = 12,462/x
3. Step 3: Cross multiply
   6,402x = 12,462 × 12,462
4. Step 4: Simplify right side
   6,402x = 155,301,444
5. Step 5: Solve for x
   x = 155,301,444/6,402
6. Step 6: Final answer
   x = 24,258.27