Finding the Third Proportional to 35,907 and 77,145

Step by Step Solution

1. Step 1: Write the proportion equation
   35,907 : 77,145 = 77,145 : x
2. Step 2: Convert to fraction form
   35,907/77,145 = 77,145/x
3. Step 3: Cross multiply
   35,907x = 77,145 × 77,145
4. Step 4: Simplify right side
   35,907x = 5,951,351,025
5. Step 5: Solve for x
   x = 5,951,351,025/35,907
6. Step 6: Final answer
   x = 165,743.48