Finding the Third Proportional to 23,843 and 45,517

Step by Step Solution

1. Step 1: Write the proportion equation
   23,843 : 45,517 = 45,517 : x
2. Step 2: Convert to fraction form
   23,843/45,517 = 45,517/x
3. Step 3: Cross multiply
   23,843x = 45,517 × 45,517
4. Step 4: Simplify right side
   23,843x = 2,071,797,289
5. Step 5: Solve for x
   x = 2,071,797,289/23,843
6. Step 6: Final answer
   x = 86,893.31