Finding the Third Proportional to 9,820 and 18,680

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820 : 18,680 = 18,680 : x
2. Step 2: Convert to fraction form
   9,820/18,680 = 18,680/x
3. Step 3: Cross multiply
   9,820x = 18,680 × 18,680
4. Step 4: Simplify right side
   9,820x = 348,942,400
5. Step 5: Solve for x
   x = 348,942,400/9,820
6. Step 6: Final answer
   x = 35,533.85