Finding the Third Proportional to 30,740 and 67,144

Step by Step Solution

1. Step 1: Write the proportion equation
   30,740 : 67,144 = 67,144 : x
2. Step 2: Convert to fraction form
   30,740/67,144 = 67,144/x
3. Step 3: Cross multiply
   30,740x = 67,144 × 67,144
4. Step 4: Simplify right side
   30,740x = 4,508,316,736
5. Step 5: Solve for x
   x = 4,508,316,736/30,740
6. Step 6: Final answer
   x = 146,659.62