Finding the Third Proportional to 35,760 and 76,269

Step by Step Solution

1. Step 1: Write the proportion equation
   35,760 : 76,269 = 76,269 : x
2. Step 2: Convert to fraction form
   35,760/76,269 = 76,269/x
3. Step 3: Cross multiply
   35,760x = 76,269 × 76,269
4. Step 4: Simplify right side
   35,760x = 5,816,960,361
5. Step 5: Solve for x
   x = 5,816,960,361/35,760
6. Step 6: Final answer
   x = 162,666.68