Finding the Third Proportional to 30,830 and 67,180

Step by Step Solution

1. Step 1: Write the proportion equation
   30,830 : 67,180 = 67,180 : x
2. Step 2: Convert to fraction form
   30,830/67,180 = 67,180/x
3. Step 3: Cross multiply
   30,830x = 67,180 × 67,180
4. Step 4: Simplify right side
   30,830x = 4,513,152,400
5. Step 5: Solve for x
   x = 4,513,152,400/30,830
6. Step 6: Final answer
   x = 146,388.34