Finding the Third Proportional to 16,184 and 22,596

Step by Step Solution

1. Step 1: Write the proportion equation
   16,184 : 22,596 = 22,596 : x
2. Step 2: Convert to fraction form
   16,184/22,596 = 22,596/x
3. Step 3: Cross multiply
   16,184x = 22,596 × 22,596
4. Step 4: Simplify right side
   16,184x = 510,579,216
5. Step 5: Solve for x
   x = 510,579,216/16,184
6. Step 6: Final answer
   x = 31,548.39