Finding the Third Proportional to 50,826 and 76,893

Step by Step Solution

1. Step 1: Write the proportion equation
   50,826 : 76,893 = 76,893 : x
2. Step 2: Convert to fraction form
   50,826/76,893 = 76,893/x
3. Step 3: Cross multiply
   50,826x = 76,893 × 76,893
4. Step 4: Simplify right side
   50,826x = 5,912,533,449
5. Step 5: Solve for x
   x = 5,912,533,449/50,826
6. Step 6: Final answer
   x = 116,328.92