Finding the Third Proportional to 29,841 and 65,006

Step by Step Solution

1. Step 1: Write the proportion equation
   29,841 : 65,006 = 65,006 : x
2. Step 2: Convert to fraction form
   29,841/65,006 = 65,006/x
3. Step 3: Cross multiply
   29,841x = 65,006 × 65,006
4. Step 4: Simplify right side
   29,841x = 4,225,780,036
5. Step 5: Solve for x
   x = 4,225,780,036/29,841
6. Step 6: Final answer
   x = 141,609.87