Finding the Third Proportional to 13,189 and 23,454

Step by Step Solution

1. Step 1: Write the proportion equation
   13,189 : 23,454 = 23,454 : x
2. Step 2: Convert to fraction form
   13,189/23,454 = 23,454/x
3. Step 3: Cross multiply
   13,189x = 23,454 × 23,454
4. Step 4: Simplify right side
   13,189x = 550,090,116
5. Step 5: Solve for x
   x = 550,090,116/13,189
6. Step 6: Final answer
   x = 41,708.25