Finding the Third Proportional to 50,561 and 76,538

Step by Step Solution

1. Step 1: Write the proportion equation
   50,561 : 76,538 = 76,538 : x
2. Step 2: Convert to fraction form
   50,561/76,538 = 76,538/x
3. Step 3: Cross multiply
   50,561x = 76,538 × 76,538
4. Step 4: Simplify right side
   50,561x = 5,858,065,444
5. Step 5: Solve for x
   x = 5,858,065,444/50,561
6. Step 6: Final answer
   x = 115,861.34