Finding the Third Proportional to 16,184 and 34,619

Step by Step Solution

1. Step 1: Write the proportion equation
   16,184 : 34,619 = 34,619 : x
2. Step 2: Convert to fraction form
   16,184/34,619 = 34,619/x
3. Step 3: Cross multiply
   16,184x = 34,619 × 34,619
4. Step 4: Simplify right side
   16,184x = 1,198,475,161
5. Step 5: Solve for x
   x = 1,198,475,161/16,184
6. Step 6: Final answer
   x = 74,053.09