Finding the Third Proportional to 35,950 and 76,436

Step by Step Solution

1. Step 1: Write the proportion equation
   35,950 : 76,436 = 76,436 : x
2. Step 2: Convert to fraction form
   35,950/76,436 = 76,436/x
3. Step 3: Cross multiply
   35,950x = 76,436 × 76,436
4. Step 4: Simplify right side
   35,950x = 5,842,462,096
5. Step 5: Solve for x
   x = 5,842,462,096/35,950
6. Step 6: Final answer
   x = 162,516.33