Finding the Third Proportional to 30,960 and 73,830

Step by Step Solution

1. Step 1: Write the proportion equation
   30,960 : 73,830 = 73,830 : x
2. Step 2: Convert to fraction form
   30,960/73,830 = 73,830/x
3. Step 3: Cross multiply
   30,960x = 73,830 × 73,830
4. Step 4: Simplify right side
   30,960x = 5,450,868,900
5. Step 5: Solve for x
   x = 5,450,868,900/30,960
6. Step 6: Final answer
   x = 176,061.66