Finding the Third Proportional to 35,996 and 74,757

Step by Step Solution

1. Step 1: Write the proportion equation
   35,996 : 74,757 = 74,757 : x
2. Step 2: Convert to fraction form
   35,996/74,757 = 74,757/x
3. Step 3: Cross multiply
   35,996x = 74,757 × 74,757
4. Step 4: Simplify right side
   35,996x = 5,588,609,049
5. Step 5: Solve for x
   x = 5,588,609,049/35,996
6. Step 6: Final answer
   x = 155,256.39