Finding the Third Proportional to 23,849 and 51,802

Step by Step Solution

1. Step 1: Write the proportion equation
   23,849 : 51,802 = 51,802 : x
2. Step 2: Convert to fraction form
   23,849/51,802 = 51,802/x
3. Step 3: Cross multiply
   23,849x = 51,802 × 51,802
4. Step 4: Simplify right side
   23,849x = 2,683,447,204
5. Step 5: Solve for x
   x = 2,683,447,204/23,849
6. Step 6: Final answer
   x = 112,518.23