Finding the Third Proportional to 8,354 and 17,820

Step by Step Solution

1. Step 1: Write the proportion equation
   8,354 : 17,820 = 17,820 : x
2. Step 2: Convert to fraction form
   8,354/17,820 = 17,820/x
3. Step 3: Cross multiply
   8,354x = 17,820 × 17,820
4. Step 4: Simplify right side
   8,354x = 317,552,400
5. Step 5: Solve for x
   x = 317,552,400/8,354
6. Step 6: Final answer
   x = 38,012.02