Finding the Third Proportional to 37,193 and 52,021

Step by Step Solution

1. Step 1: Write the proportion equation
   37,193 : 52,021 = 52,021 : x
2. Step 2: Convert to fraction form
   37,193/52,021 = 52,021/x
3. Step 3: Cross multiply
   37,193x = 52,021 × 52,021
4. Step 4: Simplify right side
   37,193x = 2,706,184,441
5. Step 5: Solve for x
   x = 2,706,184,441/37,193
6. Step 6: Final answer
   x = 72,760.59