Finding the Third Proportional to 35,936 and 83,936

Step by Step Solution

1. Step 1: Write the proportion equation
   35,936 : 83,936 = 83,936 : x
2. Step 2: Convert to fraction form
   35,936/83,936 = 83,936/x
3. Step 3: Cross multiply
   35,936x = 83,936 × 83,936
4. Step 4: Simplify right side
   35,936x = 7,045,252,096
5. Step 5: Solve for x
   x = 7,045,252,096/35,936
6. Step 6: Final answer
   x = 196,049.98