Finding the Third Proportional to 23,813 and 37,676

Step by Step Solution

1. Step 1: Write the proportion equation
   23,813 : 37,676 = 37,676 : x
2. Step 2: Convert to fraction form
   23,813/37,676 = 37,676/x
3. Step 3: Cross multiply
   23,813x = 37,676 × 37,676
4. Step 4: Simplify right side
   23,813x = 1,419,480,976
5. Step 5: Solve for x
   x = 1,419,480,976/23,813
6. Step 6: Final answer
   x = 59,609.50