Finding the Third Proportional to 36,960 and 76,546

Step by Step Solution

1. Step 1: Write the proportion equation
   36,960 : 76,546 = 76,546 : x
2. Step 2: Convert to fraction form
   36,960/76,546 = 76,546/x
3. Step 3: Cross multiply
   36,960x = 76,546 × 76,546
4. Step 4: Simplify right side
   36,960x = 5,859,290,116
5. Step 5: Solve for x
   x = 5,859,290,116/36,960
6. Step 6: Final answer
   x = 158,530.58