Finding the Third Proportional to 12,780 and 18,414

Step by Step Solution

1. Step 1: Write the proportion equation
   12,780 : 18,414 = 18,414 : x
2. Step 2: Convert to fraction form
   12,780/18,414 = 18,414/x
3. Step 3: Cross multiply
   12,780x = 18,414 × 18,414
4. Step 4: Simplify right side
   12,780x = 339,075,396
5. Step 5: Solve for x
   x = 339,075,396/12,780
6. Step 6: Final answer
   x = 26,531.72