Finding the Third Proportional to 30,398 and 65,338

Step by Step Solution

1. Step 1: Write the proportion equation
   30,398 : 65,338 = 65,338 : x
2. Step 2: Convert to fraction form
   30,398/65,338 = 65,338/x
3. Step 3: Cross multiply
   30,398x = 65,338 × 65,338
4. Step 4: Simplify right side
   30,398x = 4,269,054,244
5. Step 5: Solve for x
   x = 4,269,054,244/30,398
6. Step 6: Final answer
   x = 140,438.66