Finding the Third Proportional to 13,580 and 20,514

Step by Step Solution

1. Step 1: Write the proportion equation
   13,580 : 20,514 = 20,514 : x
2. Step 2: Convert to fraction form
   13,580/20,514 = 20,514/x
3. Step 3: Cross multiply
   13,580x = 20,514 × 20,514
4. Step 4: Simplify right side
   13,580x = 420,824,196
5. Step 5: Solve for x
   x = 420,824,196/13,580
6. Step 6: Final answer
   x = 30,988.53