Finding the Third Proportional to 37,732 and 40,968

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732 : 40,968 = 40,968 : x
2. Step 2: Convert to fraction form
   37,732/40,968 = 40,968/x
3. Step 3: Cross multiply
   37,732x = 40,968 × 40,968
4. Step 4: Simplify right side
   37,732x = 1,678,377,024
5. Step 5: Solve for x
   x = 1,678,377,024/37,732
6. Step 6: Final answer
   x = 44,481.53