Finding the Third Proportional to 37,832 and 57,274

Step by Step Solution

1. Step 1: Write the proportion equation
   37,832 : 57,274 = 57,274 : x
2. Step 2: Convert to fraction form
   37,832/57,274 = 57,274/x
3. Step 3: Cross multiply
   37,832x = 57,274 × 57,274
4. Step 4: Simplify right side
   37,832x = 3,280,311,076
5. Step 5: Solve for x
   x = 3,280,311,076/37,832
6. Step 6: Final answer
   x = 86,707.31