Finding the Third Proportional to 50,896 and 74,816

Step by Step Solution

1. Step 1: Write the proportion equation
   50,896 : 74,816 = 74,816 : x
2. Step 2: Convert to fraction form
   50,896/74,816 = 74,816/x
3. Step 3: Cross multiply
   50,896x = 74,816 × 74,816
4. Step 4: Simplify right side
   50,896x = 5,597,433,856
5. Step 5: Solve for x
   x = 5,597,433,856/50,896
6. Step 6: Final answer
   x = 109,977.87