Finding the Third Proportional to 41,302 and 65,646

Step by Step Solution

1. Step 1: Write the proportion equation
   41,302 : 65,646 = 65,646 : x
2. Step 2: Convert to fraction form
   41,302/65,646 = 65,646/x
3. Step 3: Cross multiply
   41,302x = 65,646 × 65,646
4. Step 4: Simplify right side
   41,302x = 4,309,397,316
5. Step 5: Solve for x
   x = 4,309,397,316/41,302
6. Step 6: Final answer
   x = 104,338.71