Finding the Third Proportional to 12,677 and 19,510

Step by Step Solution

1. Step 1: Write the proportion equation
   12,677 : 19,510 = 19,510 : x
2. Step 2: Convert to fraction form
   12,677/19,510 = 19,510/x
3. Step 3: Cross multiply
   12,677x = 19,510 × 19,510
4. Step 4: Simplify right side
   12,677x = 380,640,100
5. Step 5: Solve for x
   x = 380,640,100/12,677
6. Step 6: Final answer
   x = 30,026.04