Finding the Third Proportional to 50,596 and 72,885

Step by Step Solution

1. Step 1: Write the proportion equation
   50,596 : 72,885 = 72,885 : x
2. Step 2: Convert to fraction form
   50,596/72,885 = 72,885/x
3. Step 3: Cross multiply
   50,596x = 72,885 × 72,885
4. Step 4: Simplify right side
   50,596x = 5,312,223,225
5. Step 5: Solve for x
   x = 5,312,223,225/50,596
6. Step 6: Final answer
   x = 104,992.95