Finding the Third Proportional to 10,224 and 13,739

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 13,739 = 13,739 : x
2. Step 2: Convert to fraction form
   10,224/13,739 = 13,739/x
3. Step 3: Cross multiply
   10,224x = 13,739 × 13,739
4. Step 4: Simplify right side
   10,224x = 188,760,121
5. Step 5: Solve for x
   x = 188,760,121/10,224
6. Step 6: Final answer
   x = 18,462.45