Finding the Third Proportional to 8,974.50 and 13,974.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,974.50 : 13,974.25 = 13,974.25 : x
2. Step 2: Convert to fraction form
   8,974.50/13,974.25 = 13,974.25/x
3. Step 3: Cross multiply
   8,974.50x = 13,974.25 × 13,974.25
4. Step 4: Simplify right side
   8,974.50x = 195,279,663.06
5. Step 5: Solve for x
   x = 195,279,663.06/8,974.50
6. Step 6: Final answer
   x = 21,759.39