Finding the Third Proportional to 37,826 and 50,883

Step by Step Solution

1. Step 1: Write the proportion equation
   37,826 : 50,883 = 50,883 : x
2. Step 2: Convert to fraction form
   37,826/50,883 = 50,883/x
3. Step 3: Cross multiply
   37,826x = 50,883 × 50,883
4. Step 4: Simplify right side
   37,826x = 2,589,079,689
5. Step 5: Solve for x
   x = 2,589,079,689/37,826
6. Step 6: Final answer
   x = 68,447.09