Finding the Third Proportional to 37,834 and 57,277

Step by Step Solution

1. Step 1: Write the proportion equation
   37,834 : 57,277 = 57,277 : x
2. Step 2: Convert to fraction form
   37,834/57,277 = 57,277/x
3. Step 3: Cross multiply
   37,834x = 57,277 × 57,277
4. Step 4: Simplify right side
   37,834x = 3,280,654,729
5. Step 5: Solve for x
   x = 3,280,654,729/37,834
6. Step 6: Final answer
   x = 86,711.81