Finding the Third Proportional to 23,872 and 37,744

Step by Step Solution

1. Step 1: Write the proportion equation
   23,872 : 37,744 = 37,744 : x
2. Step 2: Convert to fraction form
   23,872/37,744 = 37,744/x
3. Step 3: Cross multiply
   23,872x = 37,744 × 37,744
4. Step 4: Simplify right side
   23,872x = 1,424,609,536
5. Step 5: Solve for x
   x = 1,424,609,536/23,872
6. Step 6: Final answer
   x = 59,677.01