Finding the Third Proportional to 37,684 and 57,012

Step by Step Solution

1. Step 1: Write the proportion equation
   37,684 : 57,012 = 57,012 : x
2. Step 2: Convert to fraction form
   37,684/57,012 = 57,012/x
3. Step 3: Cross multiply
   37,684x = 57,012 × 57,012
4. Step 4: Simplify right side
   37,684x = 3,250,368,144
5. Step 5: Solve for x
   x = 3,250,368,144/37,684
6. Step 6: Final answer
   x = 86,253.27