Finding the Third Proportional to 10,184 and 14,540

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184 : 14,540 = 14,540 : x
2. Step 2: Convert to fraction form
   10,184/14,540 = 14,540/x
3. Step 3: Cross multiply
   10,184x = 14,540 × 14,540
4. Step 4: Simplify right side
   10,184x = 211,411,600
5. Step 5: Solve for x
   x = 211,411,600/10,184
6. Step 6: Final answer
   x = 20,759.19