Finding the Third Proportional to 37,652 and 49,983

Step by Step Solution

1. Step 1: Write the proportion equation
   37,652 : 49,983 = 49,983 : x
2. Step 2: Convert to fraction form
   37,652/49,983 = 49,983/x
3. Step 3: Cross multiply
   37,652x = 49,983 × 49,983
4. Step 4: Simplify right side
   37,652x = 2,498,300,289
5. Step 5: Solve for x
   x = 2,498,300,289/37,652
6. Step 6: Final answer
   x = 66,352.39