Finding the Third Proportional to 9,256.50 and 12,597.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.50 : 12,597.75 = 12,597.75 : x
2. Step 2: Convert to fraction form
   9,256.50/12,597.75 = 12,597.75/x
3. Step 3: Cross multiply
   9,256.50x = 12,597.75 × 12,597.75
4. Step 4: Simplify right side
   9,256.50x = 158,703,305.06
5. Step 5: Solve for x
   x = 158,703,305.06/9,256.50
6. Step 6: Final answer
   x = 17,145.07