Finding the Third Proportional to 21,852 and 51,369.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,852 : 51,369.75 = 51,369.75 : x
2. Step 2: Convert to fraction form
   21,852/51,369.75 = 51,369.75/x
3. Step 3: Cross multiply
   21,852x = 51,369.75 × 51,369.75
4. Step 4: Simplify right side
   21,852x = 2,638,851,215.06
5. Step 5: Solve for x
   x = 2,638,851,215.06/21,852
6. Step 6: Final answer
   x = 120,760.17