Finding the Third Proportional to 37,740 and 41,658

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740 : 41,658 = 41,658 : x
2. Step 2: Convert to fraction form
   37,740/41,658 = 41,658/x
3. Step 3: Cross multiply
   37,740x = 41,658 × 41,658
4. Step 4: Simplify right side
   37,740x = 1,735,388,964
5. Step 5: Solve for x
   x = 1,735,388,964/37,740
6. Step 6: Final answer
   x = 45,982.75