Finding the Third Proportional to 35,996 and 75,632

Step by Step Solution

1. Step 1: Write the proportion equation
   35,996 : 75,632 = 75,632 : x
2. Step 2: Convert to fraction form
   35,996/75,632 = 75,632/x
3. Step 3: Cross multiply
   35,996x = 75,632 × 75,632
4. Step 4: Simplify right side
   35,996x = 5,720,199,424
5. Step 5: Solve for x
   x = 5,720,199,424/35,996
6. Step 6: Final answer
   x = 158,912.09