Finding the Third Proportional to 23,724 and 51,144

Step by Step Solution

1. Step 1: Write the proportion equation
   23,724 : 51,144 = 51,144 : x
2. Step 2: Convert to fraction form
   23,724/51,144 = 51,144/x
3. Step 3: Cross multiply
   23,724x = 51,144 × 51,144
4. Step 4: Simplify right side
   23,724x = 2,615,708,736
5. Step 5: Solve for x
   x = 2,615,708,736/23,724
6. Step 6: Final answer
   x = 110,255.81