Finding the Third Proportional to 23,689 and 51,398

Step by Step Solution

1. Step 1: Write the proportion equation
   23,689 : 51,398 = 51,398 : x
2. Step 2: Convert to fraction form
   23,689/51,398 = 51,398/x
3. Step 3: Cross multiply
   23,689x = 51,398 × 51,398
4. Step 4: Simplify right side
   23,689x = 2,641,754,404
5. Step 5: Solve for x
   x = 2,641,754,404/23,689
6. Step 6: Final answer
   x = 111,518.19