Finding the Third Proportional to 37,181 and 57,837

Step by Step Solution

1. Step 1: Write the proportion equation
   37,181 : 57,837 = 57,837 : x
2. Step 2: Convert to fraction form
   37,181/57,837 = 57,837/x
3. Step 3: Cross multiply
   37,181x = 57,837 × 57,837
4. Step 4: Simplify right side
   37,181x = 3,345,118,569
5. Step 5: Solve for x
   x = 3,345,118,569/37,181
6. Step 6: Final answer
   x = 89,968.49