Finding the Third Proportional to 21,872 and 47,968

Step by Step Solution

1. Step 1: Write the proportion equation
   21,872 : 47,968 = 47,968 : x
2. Step 2: Convert to fraction form
   21,872/47,968 = 47,968/x
3. Step 3: Cross multiply
   21,872x = 47,968 × 47,968
4. Step 4: Simplify right side
   21,872x = 2,300,929,024
5. Step 5: Solve for x
   x = 2,300,929,024/21,872
6. Step 6: Final answer
   x = 105,199.75