Finding the Third Proportional to 16,189 and 34,627

Step by Step Solution

1. Step 1: Write the proportion equation
   16,189 : 34,627 = 34,627 : x
2. Step 2: Convert to fraction form
   16,189/34,627 = 34,627/x
3. Step 3: Cross multiply
   16,189x = 34,627 × 34,627
4. Step 4: Simplify right side
   16,189x = 1,199,029,129
5. Step 5: Solve for x
   x = 1,199,029,129/16,189
6. Step 6: Final answer
   x = 74,064.43