Finding the Third Proportional to 16,184 and 34,309

Step by Step Solution

1. Step 1: Write the proportion equation
   16,184 : 34,309 = 34,309 : x
2. Step 2: Convert to fraction form
   16,184/34,309 = 34,309/x
3. Step 3: Cross multiply
   16,184x = 34,309 × 34,309
4. Step 4: Simplify right side
   16,184x = 1,177,107,481
5. Step 5: Solve for x
   x = 1,177,107,481/16,184
6. Step 6: Final answer
   x = 72,732.79