Finding the Third Proportional to 12,028.50 and 17,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,028.50 : 17,678.25 = 17,678.25 : x
2. Step 2: Convert to fraction form
   12,028.50/17,678.25 = 17,678.25/x
3. Step 3: Cross multiply
   12,028.50x = 17,678.25 × 17,678.25
4. Step 4: Simplify right side
   12,028.50x = 312,520,523.06
5. Step 5: Solve for x
   x = 312,520,523.06/12,028.50
6. Step 6: Final answer
   x = 25,981.67