Finding the Third Proportional to 10,724 and 12,344

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724 : 12,344 = 12,344 : x
2. Step 2: Convert to fraction form
   10,724/12,344 = 12,344/x
3. Step 3: Cross multiply
   10,724x = 12,344 × 12,344
4. Step 4: Simplify right side
   10,724x = 152,374,336
5. Step 5: Solve for x
   x = 152,374,336/10,724
6. Step 6: Final answer
   x = 14,208.72