Finding the Third Proportional to 34,740 and 38,304

Step by Step Solution

1. Step 1: Write the proportion equation
   34,740 : 38,304 = 38,304 : x
2. Step 2: Convert to fraction form
   34,740/38,304 = 38,304/x
3. Step 3: Cross multiply
   34,740x = 38,304 × 38,304
4. Step 4: Simplify right side
   34,740x = 1,467,196,416
5. Step 5: Solve for x
   x = 1,467,196,416/34,740
6. Step 6: Final answer
   x = 42,233.63