Finding the Third Proportional to 13,205 and 23,483

Step by Step Solution

1. Step 1: Write the proportion equation
   13,205 : 23,483 = 23,483 : x
2. Step 2: Convert to fraction form
   13,205/23,483 = 23,483/x
3. Step 3: Cross multiply
   13,205x = 23,483 × 23,483
4. Step 4: Simplify right side
   13,205x = 551,451,289
5. Step 5: Solve for x
   x = 551,451,289/13,205
6. Step 6: Final answer
   x = 41,760.79