Finding the Third Proportional to 30,666 and 42,230

Step by Step Solution

1. Step 1: Write the proportion equation
   30,666 : 42,230 = 42,230 : x
2. Step 2: Convert to fraction form
   30,666/42,230 = 42,230/x
3. Step 3: Cross multiply
   30,666x = 42,230 × 42,230
4. Step 4: Simplify right side
   30,666x = 1,783,372,900
5. Step 5: Solve for x
   x = 1,783,372,900/30,666
6. Step 6: Final answer
   x = 58,154.73