Finding the Third Proportional to 37,204 and 52,036

Step by Step Solution

1. Step 1: Write the proportion equation
   37,204 : 52,036 = 52,036 : x
2. Step 2: Convert to fraction form
   37,204/52,036 = 52,036/x
3. Step 3: Cross multiply
   37,204x = 52,036 × 52,036
4. Step 4: Simplify right side
   37,204x = 2,707,745,296
5. Step 5: Solve for x
   x = 2,707,745,296/37,204
6. Step 6: Final answer
   x = 72,781.03