Finding the Third Proportional to 35,976 and 84,030

Step by Step Solution

1. Step 1: Write the proportion equation
   35,976 : 84,030 = 84,030 : x
2. Step 2: Convert to fraction form
   35,976/84,030 = 84,030/x
3. Step 3: Cross multiply
   35,976x = 84,030 × 84,030
4. Step 4: Simplify right side
   35,976x = 7,061,040,900
5. Step 5: Solve for x
   x = 7,061,040,900/35,976
6. Step 6: Final answer
   x = 196,270.87