Finding the Third Proportional to 50,838 and 76,914

Step by Step Solution

1. Step 1: Write the proportion equation
   50,838 : 76,914 = 76,914 : x
2. Step 2: Convert to fraction form
   50,838/76,914 = 76,914/x
3. Step 3: Cross multiply
   50,838x = 76,914 × 76,914
4. Step 4: Simplify right side
   50,838x = 5,915,763,396
5. Step 5: Solve for x
   x = 5,915,763,396/50,838
6. Step 6: Final answer
   x = 116,364.99