Finding the Third Proportional to 35,751 and 76,983

Step by Step Solution

1. Step 1: Write the proportion equation
   35,751 : 76,983 = 76,983 : x
2. Step 2: Convert to fraction form
   35,751/76,983 = 76,983/x
3. Step 3: Cross multiply
   35,751x = 76,983 × 76,983
4. Step 4: Simplify right side
   35,751x = 5,926,382,289
5. Step 5: Solve for x
   x = 5,926,382,289/35,751
6. Step 6: Final answer
   x = 165,768.29