Finding the Third Proportional to 34,736 and 37,968

Step by Step Solution

1. Step 1: Write the proportion equation
   34,736 : 37,968 = 37,968 : x
2. Step 2: Convert to fraction form
   34,736/37,968 = 37,968/x
3. Step 3: Cross multiply
   34,736x = 37,968 × 37,968
4. Step 4: Simplify right side
   34,736x = 1,441,569,024
5. Step 5: Solve for x
   x = 1,441,569,024/34,736
6. Step 6: Final answer
   x = 41,500.72