Finding the Third Proportional to 21,872 and 51,404

Step by Step Solution

1. Step 1: Write the proportion equation
   21,872 : 51,404 = 51,404 : x
2. Step 2: Convert to fraction form
   21,872/51,404 = 51,404/x
3. Step 3: Cross multiply
   21,872x = 51,404 × 51,404
4. Step 4: Simplify right side
   21,872x = 2,642,371,216
5. Step 5: Solve for x
   x = 2,642,371,216/21,872
6. Step 6: Final answer
   x = 120,810.68