Finding the Third Proportional to 19,019 and 43,830

Step by Step Solution

1. Step 1: Write the proportion equation
   19,019 : 43,830 = 43,830 : x
2. Step 2: Convert to fraction form
   19,019/43,830 = 43,830/x
3. Step 3: Cross multiply
   19,019x = 43,830 × 43,830
4. Step 4: Simplify right side
   19,019x = 1,921,068,900
5. Step 5: Solve for x
   x = 1,921,068,900/19,019
6. Step 6: Final answer
   x = 101,007.88