Finding the Third Proportional to 36,648 and 75,240

Step by Step Solution

1. Step 1: Write the proportion equation
   36,648 : 75,240 = 75,240 : x
2. Step 2: Convert to fraction form
   36,648/75,240 = 75,240/x
3. Step 3: Cross multiply
   36,648x = 75,240 × 75,240
4. Step 4: Simplify right side
   36,648x = 5,661,057,600
5. Step 5: Solve for x
   x = 5,661,057,600/36,648
6. Step 6: Final answer
   x = 154,471.12