Finding the Third Proportional to 27,732 and 37,170

Step by Step Solution

1. Step 1: Write the proportion equation
   27,732 : 37,170 = 37,170 : x
2. Step 2: Convert to fraction form
   27,732/37,170 = 37,170/x
3. Step 3: Cross multiply
   27,732x = 37,170 × 37,170
4. Step 4: Simplify right side
   27,732x = 1,381,608,900
5. Step 5: Solve for x
   x = 1,381,608,900/27,732
6. Step 6: Final answer
   x = 49,820.02