Finding the Third Proportional to 30,784 and 67,112

Step by Step Solution

1. Step 1: Write the proportion equation
   30,784 : 67,112 = 67,112 : x
2. Step 2: Convert to fraction form
   30,784/67,112 = 67,112/x
3. Step 3: Cross multiply
   30,784x = 67,112 × 67,112
4. Step 4: Simplify right side
   30,784x = 4,504,020,544
5. Step 5: Solve for x
   x = 4,504,020,544/30,784
6. Step 6: Final answer
   x = 146,310.44