Finding the Third Proportional to 37,728 and 50,749

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728 : 50,749 = 50,749 : x
2. Step 2: Convert to fraction form
   37,728/50,749 = 50,749/x
3. Step 3: Cross multiply
   37,728x = 50,749 × 50,749
4. Step 4: Simplify right side
   37,728x = 2,575,461,001
5. Step 5: Solve for x
   x = 2,575,461,001/37,728
6. Step 6: Final answer
   x = 68,263.92