Finding the Third Proportional to 50,595 and 76,648

Step by Step Solution

1. Step 1: Write the proportion equation
   50,595 : 76,648 = 76,648 : x
2. Step 2: Convert to fraction form
   50,595/76,648 = 76,648/x
3. Step 3: Cross multiply
   50,595x = 76,648 × 76,648
4. Step 4: Simplify right side
   50,595x = 5,874,915,904
5. Step 5: Solve for x
   x = 5,874,915,904/50,595
6. Step 6: Final answer
   x = 116,116.53