Finding the Third Proportional to 30,740 and 42,270

Step by Step Solution

1. Step 1: Write the proportion equation
   30,740 : 42,270 = 42,270 : x
2. Step 2: Convert to fraction form
   30,740/42,270 = 42,270/x
3. Step 3: Cross multiply
   30,740x = 42,270 × 42,270
4. Step 4: Simplify right side
   30,740x = 1,786,752,900
5. Step 5: Solve for x
   x = 1,786,752,900/30,740
6. Step 6: Final answer
   x = 58,124.69