Finding the Third Proportional to 35,456 and 75,605

Step by Step Solution

1. Step 1: Write the proportion equation
   35,456 : 75,605 = 75,605 : x
2. Step 2: Convert to fraction form
   35,456/75,605 = 75,605/x
3. Step 3: Cross multiply
   35,456x = 75,605 × 75,605
4. Step 4: Simplify right side
   35,456x = 5,716,116,025
5. Step 5: Solve for x
   x = 5,716,116,025/35,456
6. Step 6: Final answer
   x = 161,217.17