Finding the Third Proportional to 30,772 and 67,088

Step by Step Solution

1. Step 1: Write the proportion equation
   30,772 : 67,088 = 67,088 : x
2. Step 2: Convert to fraction form
   30,772/67,088 = 67,088/x
3. Step 3: Cross multiply
   30,772x = 67,088 × 67,088
4. Step 4: Simplify right side
   30,772x = 4,500,799,744
5. Step 5: Solve for x
   x = 4,500,799,744/30,772
6. Step 6: Final answer
   x = 146,262.83