Finding the Third Proportional to 35,950 and 77,104

Step by Step Solution

1. Step 1: Write the proportion equation
   35,950 : 77,104 = 77,104 : x
2. Step 2: Convert to fraction form
   35,950/77,104 = 77,104/x
3. Step 3: Cross multiply
   35,950x = 77,104 × 77,104
4. Step 4: Simplify right side
   35,950x = 5,945,026,816
5. Step 5: Solve for x
   x = 5,945,026,816/35,950
6. Step 6: Final answer
   x = 165,369.31