Finding the Third Proportional to 36,680 and 76,960

Step by Step Solution

1. Step 1: Write the proportion equation
   36,680 : 76,960 = 76,960 : x
2. Step 2: Convert to fraction form
   36,680/76,960 = 76,960/x
3. Step 3: Cross multiply
   36,680x = 76,960 × 76,960
4. Step 4: Simplify right side
   36,680x = 5,922,841,600
5. Step 5: Solve for x
   x = 5,922,841,600/36,680
6. Step 6: Final answer
   x = 161,473.33