Finding the Third Proportional to 37,193 and 53,238

Step by Step Solution

1. Step 1: Write the proportion equation
   37,193 : 53,238 = 53,238 : x
2. Step 2: Convert to fraction form
   37,193/53,238 = 53,238/x
3. Step 3: Cross multiply
   37,193x = 53,238 × 53,238
4. Step 4: Simplify right side
   37,193x = 2,834,284,644
5. Step 5: Solve for x
   x = 2,834,284,644/37,193
6. Step 6: Final answer
   x = 76,204.79