Finding the Third Proportional to 12,838 and 17,340

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838 : 17,340 = 17,340 : x
2. Step 2: Convert to fraction form
   12,838/17,340 = 17,340/x
3. Step 3: Cross multiply
   12,838x = 17,340 × 17,340
4. Step 4: Simplify right side
   12,838x = 300,675,600
5. Step 5: Solve for x
   x = 300,675,600/12,838
6. Step 6: Final answer
   x = 23,420.75