Finding the Third Proportional to 12,285 and 17,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,285 : 17,968.50 = 17,968.50 : x
2. Step 2: Convert to fraction form
   12,285/17,968.50 = 17,968.50/x
3. Step 3: Cross multiply
   12,285x = 17,968.50 × 17,968.50
4. Step 4: Simplify right side
   12,285x = 322,866,992.25
5. Step 5: Solve for x
   x = 322,866,992.25/12,285
6. Step 6: Final answer
   x = 26,281.40