Finding the Third Proportional to 41,302 and 65,645

Step by Step Solution

1. Step 1: Write the proportion equation
   41,302 : 65,645 = 65,645 : x
2. Step 2: Convert to fraction form
   41,302/65,645 = 65,645/x
3. Step 3: Cross multiply
   41,302x = 65,645 × 65,645
4. Step 4: Simplify right side
   41,302x = 4,309,266,025
5. Step 5: Solve for x
   x = 4,309,266,025/41,302
6. Step 6: Final answer
   x = 104,335.53