Finding the Third Proportional to 23,424 and 51,216

Step by Step Solution

1. Step 1: Write the proportion equation
   23,424 : 51,216 = 51,216 : x
2. Step 2: Convert to fraction form
   23,424/51,216 = 51,216/x
3. Step 3: Cross multiply
   23,424x = 51,216 × 51,216
4. Step 4: Simplify right side
   23,424x = 2,623,078,656
5. Step 5: Solve for x
   x = 2,623,078,656/23,424
6. Step 6: Final answer
   x = 111,982.52