Finding the Third Proportional to 30,409 and 45,568

Step by Step Solution

1. Step 1: Write the proportion equation
   30,409 : 45,568 = 45,568 : x
2. Step 2: Convert to fraction form
   30,409/45,568 = 45,568/x
3. Step 3: Cross multiply
   30,409x = 45,568 × 45,568
4. Step 4: Simplify right side
   30,409x = 2,076,442,624
5. Step 5: Solve for x
   x = 2,076,442,624/30,409
6. Step 6: Final answer
   x = 68,283.82