Finding the Third Proportional to 16,500 and 36,680

Step by Step Solution

1. Step 1: Write the proportion equation
   16,500 : 36,680 = 36,680 : x
2. Step 2: Convert to fraction form
   16,500/36,680 = 36,680/x
3. Step 3: Cross multiply
   16,500x = 36,680 × 36,680
4. Step 4: Simplify right side
   16,500x = 1,345,422,400
5. Step 5: Solve for x
   x = 1,345,422,400/16,500
6. Step 6: Final answer
   x = 81,540.75