Finding the Third Proportional to 37,695 and 57,033

Step by Step Solution

1. Step 1: Write the proportion equation
   37,695 : 57,033 = 57,033 : x
2. Step 2: Convert to fraction form
   37,695/57,033 = 57,033/x
3. Step 3: Cross multiply
   37,695x = 57,033 × 57,033
4. Step 4: Simplify right side
   37,695x = 3,252,763,089
5. Step 5: Solve for x
   x = 3,252,763,089/37,695
6. Step 6: Final answer
   x = 86,291.63