Finding the Third Proportional to 12,776 and 20,514

Step by Step Solution

1. Step 1: Write the proportion equation
   12,776 : 20,514 = 20,514 : x
2. Step 2: Convert to fraction form
   12,776/20,514 = 20,514/x
3. Step 3: Cross multiply
   12,776x = 20,514 × 20,514
4. Step 4: Simplify right side
   12,776x = 420,824,196
5. Step 5: Solve for x
   x = 420,824,196/12,776
6. Step 6: Final answer
   x = 32,938.65