Finding the Third Proportional to 65,841 and 102,105

Step by Step Solution

1. Step 1: Write the proportion equation
   65,841 : 102,105 = 102,105 : x
2. Step 2: Convert to fraction form
   65,841/102,105 = 102,105/x
3. Step 3: Cross multiply
   65,841x = 102,105 × 102,105
4. Step 4: Simplify right side
   65,841x = 10,425,431,025
5. Step 5: Solve for x
   x = 10,425,431,025/65,841
6. Step 6: Final answer
   x = 158,342.54