Finding the Third Proportional to 45,096 and 67,384

Step by Step Solution

1. Step 1: Write the proportion equation
   45,096 : 67,384 = 67,384 : x
2. Step 2: Convert to fraction form
   45,096/67,384 = 67,384/x
3. Step 3: Cross multiply
   45,096x = 67,384 × 67,384
4. Step 4: Simplify right side
   45,096x = 4,540,603,456
5. Step 5: Solve for x
   x = 4,540,603,456/45,096
6. Step 6: Final answer
   x = 100,687.50