Finding the Third Proportional to 23,216 and 41,824

Step by Step Solution

1. Step 1: Write the proportion equation
   23,216 : 41,824 = 41,824 : x
2. Step 2: Convert to fraction form
   23,216/41,824 = 41,824/x
3. Step 3: Cross multiply
   23,216x = 41,824 × 41,824
4. Step 4: Simplify right side
   23,216x = 1,749,246,976
5. Step 5: Solve for x
   x = 1,749,246,976/23,216
6. Step 6: Final answer
   x = 75,346.61