Finding the Third Proportional to 37,629 and 49,950

Step by Step Solution

1. Step 1: Write the proportion equation
   37,629 : 49,950 = 49,950 : x
2. Step 2: Convert to fraction form
   37,629/49,950 = 49,950/x
3. Step 3: Cross multiply
   37,629x = 49,950 × 49,950
4. Step 4: Simplify right side
   37,629x = 2,495,002,500
5. Step 5: Solve for x
   x = 2,495,002,500/37,629
6. Step 6: Final answer
   x = 66,305.31