Finding the Third Proportional to 13,142 and 19,509

Step by Step Solution

1. Step 1: Write the proportion equation
   13,142 : 19,509 = 19,509 : x
2. Step 2: Convert to fraction form
   13,142/19,509 = 19,509/x
3. Step 3: Cross multiply
   13,142x = 19,509 × 19,509
4. Step 4: Simplify right side
   13,142x = 380,601,081
5. Step 5: Solve for x
   x = 380,601,081/13,142
6. Step 6: Final answer
   x = 28,960.67