Finding the Third Proportional to 19,840 and 42,768

Step by Step Solution

1. Step 1: Write the proportion equation
   19,840 : 42,768 = 42,768 : x
2. Step 2: Convert to fraction form
   19,840/42,768 = 42,768/x
3. Step 3: Cross multiply
   19,840x = 42,768 × 42,768
4. Step 4: Simplify right side
   19,840x = 1,829,101,824
5. Step 5: Solve for x
   x = 1,829,101,824/19,840
6. Step 6: Final answer
   x = 92,192.63