Finding the Third Proportional to 13,040 and 19,510

Step by Step Solution

1. Step 1: Write the proportion equation
   13,040 : 19,510 = 19,510 : x
2. Step 2: Convert to fraction form
   13,040/19,510 = 19,510/x
3. Step 3: Cross multiply
   13,040x = 19,510 × 19,510
4. Step 4: Simplify right side
   13,040x = 380,640,100
5. Step 5: Solve for x
   x = 380,640,100/13,040
6. Step 6: Final answer
   x = 29,190.19