Finding the Third Proportional to 19,419 and 41,670

Step by Step Solution

1. Step 1: Write the proportion equation
   19,419 : 41,670 = 41,670 : x
2. Step 2: Convert to fraction form
   19,419/41,670 = 41,670/x
3. Step 3: Cross multiply
   19,419x = 41,670 × 41,670
4. Step 4: Simplify right side
   19,419x = 1,736,388,900
5. Step 5: Solve for x
   x = 1,736,388,900/19,419
6. Step 6: Final answer
   x = 89,417.01