Finding the Third Proportional to 16,184 and 25,733

Step by Step Solution

1. Step 1: Write the proportion equation
   16,184 : 25,733 = 25,733 : x
2. Step 2: Convert to fraction form
   16,184/25,733 = 25,733/x
3. Step 3: Cross multiply
   16,184x = 25,733 × 25,733
4. Step 4: Simplify right side
   16,184x = 662,187,289
5. Step 5: Solve for x
   x = 662,187,289/16,184
6. Step 6: Final answer
   x = 40,916.17