Finding the Third Proportional to 43,238 and 65,743

Step by Step Solution

1. Step 1: Write the proportion equation
   43,238 : 65,743 = 65,743 : x
2. Step 2: Convert to fraction form
   43,238/65,743 = 65,743/x
3. Step 3: Cross multiply
   43,238x = 65,743 × 65,743
4. Step 4: Simplify right side
   43,238x = 4,322,142,049
5. Step 5: Solve for x
   x = 4,322,142,049/43,238
6. Step 6: Final answer
   x = 99,961.66