Finding the Third Proportional to 36,680 and 76,230

Step by Step Solution

1. Step 1: Write the proportion equation
   36,680 : 76,230 = 76,230 : x
2. Step 2: Convert to fraction form
   36,680/76,230 = 76,230/x
3. Step 3: Cross multiply
   36,680x = 76,230 × 76,230
4. Step 4: Simplify right side
   36,680x = 5,811,012,900
5. Step 5: Solve for x
   x = 5,811,012,900/36,680
6. Step 6: Final answer
   x = 158,424.56