Finding the Third Proportional to 13,788 and 17,514

Step by Step Solution

1. Step 1: Write the proportion equation
   13,788 : 17,514 = 17,514 : x
2. Step 2: Convert to fraction form
   13,788/17,514 = 17,514/x
3. Step 3: Cross multiply
   13,788x = 17,514 × 17,514
4. Step 4: Simplify right side
   13,788x = 306,740,196
5. Step 5: Solve for x
   x = 306,740,196/13,788
6. Step 6: Final answer
   x = 22,246.90