Finding the Third Proportional to 23,894 and 37,960

Step by Step Solution

1. Step 1: Write the proportion equation
   23,894 : 37,960 = 37,960 : x
2. Step 2: Convert to fraction form
   23,894/37,960 = 37,960/x
3. Step 3: Cross multiply
   23,894x = 37,960 × 37,960
4. Step 4: Simplify right side
   23,894x = 1,440,961,600
5. Step 5: Solve for x
   x = 1,440,961,600/23,894
6. Step 6: Final answer
   x = 60,306.42