Finding the Third Proportional to 41,946 and 65,026

Step by Step Solution

1. Step 1: Write the proportion equation
   41,946 : 65,026 = 65,026 : x
2. Step 2: Convert to fraction form
   41,946/65,026 = 65,026/x
3. Step 3: Cross multiply
   41,946x = 65,026 × 65,026
4. Step 4: Simplify right side
   41,946x = 4,228,380,676
5. Step 5: Solve for x
   x = 4,228,380,676/41,946
6. Step 6: Final answer
   x = 100,805.34