Finding the Third Proportional to 12,372 and 17,678

Step by Step Solution

1. Step 1: Write the proportion equation
   12,372 : 17,678 = 17,678 : x
2. Step 2: Convert to fraction form
   12,372/17,678 = 17,678/x
3. Step 3: Cross multiply
   12,372x = 17,678 × 17,678
4. Step 4: Simplify right side
   12,372x = 312,511,684
5. Step 5: Solve for x
   x = 312,511,684/12,372
6. Step 6: Final answer
   x = 25,259.59