Finding the Third Proportional to 19,826 and 42,920

Step by Step Solution

1. Step 1: Write the proportion equation
   19,826 : 42,920 = 42,920 : x
2. Step 2: Convert to fraction form
   19,826/42,920 = 42,920/x
3. Step 3: Cross multiply
   19,826x = 42,920 × 42,920
4. Step 4: Simplify right side
   19,826x = 1,842,126,400
5. Step 5: Solve for x
   x = 1,842,126,400/19,826
6. Step 6: Final answer
   x = 92,914.68