Finding the Third Proportional to 19,824 and 42,720

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824 : 42,720 = 42,720 : x
2. Step 2: Convert to fraction form
   19,824/42,720 = 42,720/x
3. Step 3: Cross multiply
   19,824x = 42,720 × 42,720
4. Step 4: Simplify right side
   19,824x = 1,824,998,400
5. Step 5: Solve for x
   x = 1,824,998,400/19,824
6. Step 6: Final answer
   x = 92,060.05