Finding the Third Proportional to 37,530 and 57,918

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530 : 57,918 = 57,918 : x
2. Step 2: Convert to fraction form
   37,530/57,918 = 57,918/x
3. Step 3: Cross multiply
   37,530x = 57,918 × 57,918
4. Step 4: Simplify right side
   37,530x = 3,354,494,724
5. Step 5: Solve for x
   x = 3,354,494,724/37,530
6. Step 6: Final answer
   x = 89,381.69