Finding the Third Proportional to 19,679 and 42,469

Step by Step Solution

1. Step 1: Write the proportion equation
   19,679 : 42,469 = 42,469 : x
2. Step 2: Convert to fraction form
   19,679/42,469 = 42,469/x
3. Step 3: Cross multiply
   19,679x = 42,469 × 42,469
4. Step 4: Simplify right side
   19,679x = 1,803,615,961
5. Step 5: Solve for x
   x = 1,803,615,961/19,679
6. Step 6: Final answer
   x = 91,651.81