Finding the Third Proportional to 65,646 and 101,841

Step by Step Solution

1. Step 1: Write the proportion equation
   65,646 : 101,841 = 101,841 : x
2. Step 2: Convert to fraction form
   65,646/101,841 = 101,841/x
3. Step 3: Cross multiply
   65,646x = 101,841 × 101,841
4. Step 4: Simplify right side
   65,646x = 10,371,589,281
5. Step 5: Solve for x
   x = 10,371,589,281/65,646
6. Step 6: Final answer
   x = 157,992.71