Finding the Third Proportional to 10,706 and 18,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706 : 18,820 = 18,820 : x
2. Step 2: Convert to fraction form
   10,706/18,820 = 18,820/x
3. Step 3: Cross multiply
   10,706x = 18,820 × 18,820
4. Step 4: Simplify right side
   10,706x = 354,192,400
5. Step 5: Solve for x
   x = 354,192,400/10,706
6. Step 6: Final answer
   x = 33,083.54