Finding the Third Proportional to 30,830 and 67,370

Step by Step Solution

1. Step 1: Write the proportion equation
   30,830 : 67,370 = 67,370 : x
2. Step 2: Convert to fraction form
   30,830/67,370 = 67,370/x
3. Step 3: Cross multiply
   30,830x = 67,370 × 67,370
4. Step 4: Simplify right side
   30,830x = 4,538,716,900
5. Step 5: Solve for x
   x = 4,538,716,900/30,830
6. Step 6: Final answer
   x = 147,217.54