Finding the Third Proportional to 39,742 and 65,458

Step by Step Solution

1. Step 1: Write the proportion equation
   39,742 : 65,458 = 65,458 : x
2. Step 2: Convert to fraction form
   39,742/65,458 = 65,458/x
3. Step 3: Cross multiply
   39,742x = 65,458 × 65,458
4. Step 4: Simplify right side
   39,742x = 4,284,749,764
5. Step 5: Solve for x
   x = 4,284,749,764/39,742
6. Step 6: Final answer
   x = 107,814.15