Finding the Third Proportional to 30,738 and 42,267

Step by Step Solution

1. Step 1: Write the proportion equation
   30,738 : 42,267 = 42,267 : x
2. Step 2: Convert to fraction form
   30,738/42,267 = 42,267/x
3. Step 3: Cross multiply
   30,738x = 42,267 × 42,267
4. Step 4: Simplify right side
   30,738x = 1,786,499,289
5. Step 5: Solve for x
   x = 1,786,499,289/30,738
6. Step 6: Final answer
   x = 58,120.22