Finding the Third Proportional to 23,760 and 37,014

Step by Step Solution

1. Step 1: Write the proportion equation
   23,760 : 37,014 = 37,014 : x
2. Step 2: Convert to fraction form
   23,760/37,014 = 37,014/x
3. Step 3: Cross multiply
   23,760x = 37,014 × 37,014
4. Step 4: Simplify right side
   23,760x = 1,370,036,196
5. Step 5: Solve for x
   x = 1,370,036,196/23,760
6. Step 6: Final answer
   x = 57,661.46