Finding the Third Proportional to 19,682 and 42,820

Step by Step Solution

1. Step 1: Write the proportion equation
   19,682 : 42,820 = 42,820 : x
2. Step 2: Convert to fraction form
   19,682/42,820 = 42,820/x
3. Step 3: Cross multiply
   19,682x = 42,820 × 42,820
4. Step 4: Simplify right side
   19,682x = 1,833,552,400
5. Step 5: Solve for x
   x = 1,833,552,400/19,682
6. Step 6: Final answer
   x = 93,158.85