Finding the Third Proportional to 49,144 and 73,766

Step by Step Solution

1. Step 1: Write the proportion equation
   49,144 : 73,766 = 73,766 : x
2. Step 2: Convert to fraction form
   49,144/73,766 = 73,766/x
3. Step 3: Cross multiply
   49,144x = 73,766 × 73,766
4. Step 4: Simplify right side
   49,144x = 5,441,422,756
5. Step 5: Solve for x
   x = 5,441,422,756/49,144
6. Step 6: Final answer
   x = 110,724.05