Finding the Third Proportional to 41,582 and 65,278

Step by Step Solution

1. Step 1: Write the proportion equation
   41,582 : 65,278 = 65,278 : x
2. Step 2: Convert to fraction form
   41,582/65,278 = 65,278/x
3. Step 3: Cross multiply
   41,582x = 65,278 × 65,278
4. Step 4: Simplify right side
   41,582x = 4,261,217,284
5. Step 5: Solve for x
   x = 4,261,217,284/41,582
6. Step 6: Final answer
   x = 102,477.45