Finding the Third Proportional to 16,184 and 34,738

Step by Step Solution

1. Step 1: Write the proportion equation
   16,184 : 34,738 = 34,738 : x
2. Step 2: Convert to fraction form
   16,184/34,738 = 34,738/x
3. Step 3: Cross multiply
   16,184x = 34,738 × 34,738
4. Step 4: Simplify right side
   16,184x = 1,206,728,644
5. Step 5: Solve for x
   x = 1,206,728,644/16,184
6. Step 6: Final answer
   x = 74,563.07