Finding the Third Proportional to 10,184 and 14,836

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184 : 14,836 = 14,836 : x
2. Step 2: Convert to fraction form
   10,184/14,836 = 14,836/x
3. Step 3: Cross multiply
   10,184x = 14,836 × 14,836
4. Step 4: Simplify right side
   10,184x = 220,106,896
5. Step 5: Solve for x
   x = 220,106,896/10,184
6. Step 6: Final answer
   x = 21,613.01