Finding the Third Proportional to 30,784 and 67,096

Step by Step Solution

1. Step 1: Write the proportion equation
   30,784 : 67,096 = 67,096 : x
2. Step 2: Convert to fraction form
   30,784/67,096 = 67,096/x
3. Step 3: Cross multiply
   30,784x = 67,096 × 67,096
4. Step 4: Simplify right side
   30,784x = 4,501,873,216
5. Step 5: Solve for x
   x = 4,501,873,216/30,784
6. Step 6: Final answer
   x = 146,240.68