Finding the Third Proportional to 23,823 and 45,483

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 45,483 = 45,483 : x
2. Step 2: Convert to fraction form
   23,823/45,483 = 45,483/x
3. Step 3: Cross multiply
   23,823x = 45,483 × 45,483
4. Step 4: Simplify right side
   23,823x = 2,068,703,289
5. Step 5: Solve for x
   x = 2,068,703,289/23,823
6. Step 6: Final answer
   x = 86,836.39