Finding the Third Proportional to 43,114 and 65,823

Step by Step Solution

1. Step 1: Write the proportion equation
   43,114 : 65,823 = 65,823 : x
2. Step 2: Convert to fraction form
   43,114/65,823 = 65,823/x
3. Step 3: Cross multiply
   43,114x = 65,823 × 65,823
4. Step 4: Simplify right side
   43,114x = 4,332,667,329
5. Step 5: Solve for x
   x = 4,332,667,329/43,114
6. Step 6: Final answer
   x = 100,493.28