Finding the Third Proportional to 43,022 and 65,626

Step by Step Solution

1. Step 1: Write the proportion equation
   43,022 : 65,626 = 65,626 : x
2. Step 2: Convert to fraction form
   43,022/65,626 = 65,626/x
3. Step 3: Cross multiply
   43,022x = 65,626 × 65,626
4. Step 4: Simplify right side
   43,022x = 4,306,771,876
5. Step 5: Solve for x
   x = 4,306,771,876/43,022
6. Step 6: Final answer
   x = 100,106.27