Finding the Third Proportional to 35,919 and 76,383

Step by Step Solution

1. Step 1: Write the proportion equation
   35,919 : 76,383 = 76,383 : x
2. Step 2: Convert to fraction form
   35,919/76,383 = 76,383/x
3. Step 3: Cross multiply
   35,919x = 76,383 × 76,383
4. Step 4: Simplify right side
   35,919x = 5,834,362,689
5. Step 5: Solve for x
   x = 5,834,362,689/35,919
6. Step 6: Final answer
   x = 162,431.10