Finding the Third Proportional to 41,824 and 65,276

Step by Step Solution

1. Step 1: Write the proportion equation
   41,824 : 65,276 = 65,276 : x
2. Step 2: Convert to fraction form
   41,824/65,276 = 65,276/x
3. Step 3: Cross multiply
   41,824x = 65,276 × 65,276
4. Step 4: Simplify right side
   41,824x = 4,260,956,176
5. Step 5: Solve for x
   x = 4,260,956,176/41,824
6. Step 6: Final answer
   x = 101,878.26