Finding the Third Proportional to 30,274 and 65,972

Step by Step Solution

1. Step 1: Write the proportion equation
   30,274 : 65,972 = 65,972 : x
2. Step 2: Convert to fraction form
   30,274/65,972 = 65,972/x
3. Step 3: Cross multiply
   30,274x = 65,972 × 65,972
4. Step 4: Simplify right side
   30,274x = 4,352,304,784
5. Step 5: Solve for x
   x = 4,352,304,784/30,274
6. Step 6: Final answer
   x = 143,763.78