Finding the Third Proportional to 10,196 and 13,758

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 13,758 = 13,758 : x
2. Step 2: Convert to fraction form
   10,196/13,758 = 13,758/x
3. Step 3: Cross multiply
   10,196x = 13,758 × 13,758
4. Step 4: Simplify right side
   10,196x = 189,282,564
5. Step 5: Solve for x
   x = 189,282,564/10,196
6. Step 6: Final answer
   x = 18,564.39