Finding the Third Proportional to 42,240 and 61,824

Step by Step Solution

1. Step 1: Write the proportion equation
   42,240 : 61,824 = 61,824 : x
2. Step 2: Convert to fraction form
   42,240/61,824 = 61,824/x
3. Step 3: Cross multiply
   42,240x = 61,824 × 61,824
4. Step 4: Simplify right side
   42,240x = 3,822,206,976
5. Step 5: Solve for x
   x = 3,822,206,976/42,240
6. Step 6: Final answer
   x = 90,487.85