Finding the Third Proportional to 50,501 and 74,775

Step by Step Solution

1. Step 1: Write the proportion equation
   50,501 : 74,775 = 74,775 : x
2. Step 2: Convert to fraction form
   50,501/74,775 = 74,775/x
3. Step 3: Cross multiply
   50,501x = 74,775 × 74,775
4. Step 4: Simplify right side
   50,501x = 5,591,300,625
5. Step 5: Solve for x
   x = 5,591,300,625/50,501
6. Step 6: Final answer
   x = 110,716.63