Finding the Third Proportional to 35,259 and 76,949

Step by Step Solution

1. Step 1: Write the proportion equation
   35,259 : 76,949 = 76,949 : x
2. Step 2: Convert to fraction form
   35,259/76,949 = 76,949/x
3. Step 3: Cross multiply
   35,259x = 76,949 × 76,949
4. Step 4: Simplify right side
   35,259x = 5,921,148,601
5. Step 5: Solve for x
   x = 5,921,148,601/35,259
6. Step 6: Final answer
   x = 167,932.97