Finding the Third Proportional to 49,920 and 74,616

Step by Step Solution

1. Step 1: Write the proportion equation
   49,920 : 74,616 = 74,616 : x
2. Step 2: Convert to fraction form
   49,920/74,616 = 74,616/x
3. Step 3: Cross multiply
   49,920x = 74,616 × 74,616
4. Step 4: Simplify right side
   49,920x = 5,567,547,456
5. Step 5: Solve for x
   x = 5,567,547,456/49,920
6. Step 6: Final answer
   x = 111,529.40