Finding the Third Proportional to 37,035 and 52,923

Step by Step Solution

1. Step 1: Write the proportion equation
   37,035 : 52,923 = 52,923 : x
2. Step 2: Convert to fraction form
   37,035/52,923 = 52,923/x
3. Step 3: Cross multiply
   37,035x = 52,923 × 52,923
4. Step 4: Simplify right side
   37,035x = 2,800,843,929
5. Step 5: Solve for x
   x = 2,800,843,929/37,035
6. Step 6: Final answer
   x = 75,626.95