Finding the Third Proportional to 54,354 and 75,105

Step by Step Solution

1. Step 1: Write the proportion equation
   54,354 : 75,105 = 75,105 : x
2. Step 2: Convert to fraction form
   54,354/75,105 = 75,105/x
3. Step 3: Cross multiply
   54,354x = 75,105 × 75,105
4. Step 4: Simplify right side
   54,354x = 5,640,761,025
5. Step 5: Solve for x
   x = 5,640,761,025/54,354
6. Step 6: Final answer
   x = 103,778.21