Finding the Third Proportional to 12,462 and 17,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,462 : 17,774.50 = 17,774.50 : x
2. Step 2: Convert to fraction form
   12,462/17,774.50 = 17,774.50/x
3. Step 3: Cross multiply
   12,462x = 17,774.50 × 17,774.50
4. Step 4: Simplify right side
   12,462x = 315,932,850.25
5. Step 5: Solve for x
   x = 315,932,850.25/12,462
6. Step 6: Final answer
   x = 25,351.70