Finding the Third Proportional to 30,700 and 67,853

Step by Step Solution

1. Step 1: Write the proportion equation
   30,700 : 67,853 = 67,853 : x
2. Step 2: Convert to fraction form
   30,700/67,853 = 67,853/x
3. Step 3: Cross multiply
   30,700x = 67,853 × 67,853
4. Step 4: Simplify right side
   30,700x = 4,604,029,609
5. Step 5: Solve for x
   x = 4,604,029,609/30,700
6. Step 6: Final answer
   x = 149,968.39