Finding the Third Proportional to 12,760 and 19,514

Step by Step Solution

1. Step 1: Write the proportion equation
   12,760 : 19,514 = 19,514 : x
2. Step 2: Convert to fraction form
   12,760/19,514 = 19,514/x
3. Step 3: Cross multiply
   12,760x = 19,514 × 19,514
4. Step 4: Simplify right side
   12,760x = 380,796,196
5. Step 5: Solve for x
   x = 380,796,196/12,760
6. Step 6: Final answer
   x = 29,842.96