Finding the Third Proportional to 30,770 and 67,084

Step by Step Solution

1. Step 1: Write the proportion equation
   30,770 : 67,084 = 67,084 : x
2. Step 2: Convert to fraction form
   30,770/67,084 = 67,084/x
3. Step 3: Cross multiply
   30,770x = 67,084 × 67,084
4. Step 4: Simplify right side
   30,770x = 4,500,263,056
5. Step 5: Solve for x
   x = 4,500,263,056/30,770
6. Step 6: Final answer
   x = 146,254.89