Finding the Third Proportional to 37,684 and 57,016

Step by Step Solution

1. Step 1: Write the proportion equation
   37,684 : 57,016 = 57,016 : x
2. Step 2: Convert to fraction form
   37,684/57,016 = 57,016/x
3. Step 3: Cross multiply
   37,684x = 57,016 × 57,016
4. Step 4: Simplify right side
   37,684x = 3,250,824,256
5. Step 5: Solve for x
   x = 3,250,824,256/37,684
6. Step 6: Final answer
   x = 86,265.37