Finding the Third Proportional to 27,398 and 42,304

Step by Step Solution

1. Step 1: Write the proportion equation
   27,398 : 42,304 = 42,304 : x
2. Step 2: Convert to fraction form
   27,398/42,304 = 42,304/x
3. Step 3: Cross multiply
   27,398x = 42,304 × 42,304
4. Step 4: Simplify right side
   27,398x = 1,789,628,416
5. Step 5: Solve for x
   x = 1,789,628,416/27,398
6. Step 6: Final answer
   x = 65,319.67