Finding the Third Proportional to 36,826 and 76,932

Step by Step Solution

1. Step 1: Write the proportion equation
   36,826 : 76,932 = 76,932 : x
2. Step 2: Convert to fraction form
   36,826/76,932 = 76,932/x
3. Step 3: Cross multiply
   36,826x = 76,932 × 76,932
4. Step 4: Simplify right side
   36,826x = 5,918,532,624
5. Step 5: Solve for x
   x = 5,918,532,624/36,826
6. Step 6: Final answer
   x = 160,716.14