Finding the Third Proportional to 20,442 and 37,968

Step by Step Solution

1. Step 1: Write the proportion equation
   20,442 : 37,968 = 37,968 : x
2. Step 2: Convert to fraction form
   20,442/37,968 = 37,968/x
3. Step 3: Cross multiply
   20,442x = 37,968 × 37,968
4. Step 4: Simplify right side
   20,442x = 1,441,569,024
5. Step 5: Solve for x
   x = 1,441,569,024/20,442
6. Step 6: Final answer
   x = 70,519.96