Finding the Third Proportional to 35,998 and 73,436

Step by Step Solution

1. Step 1: Write the proportion equation
   35,998 : 73,436 = 73,436 : x
2. Step 2: Convert to fraction form
   35,998/73,436 = 73,436/x
3. Step 3: Cross multiply
   35,998x = 73,436 × 73,436
4. Step 4: Simplify right side
   35,998x = 5,392,846,096
5. Step 5: Solve for x
   x = 5,392,846,096/35,998
6. Step 6: Final answer
   x = 149,809.60