Finding the Third Proportional to 10,256.75 and 14,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.75 : 14,667.25 = 14,667.25 : x
2. Step 2: Convert to fraction form
   10,256.75/14,667.25 = 14,667.25/x
3. Step 3: Cross multiply
   10,256.75x = 14,667.25 × 14,667.25
4. Step 4: Simplify right side
   10,256.75x = 215,128,222.56
5. Step 5: Solve for x
   x = 215,128,222.56/10,256.75
6. Step 6: Final answer
   x = 20,974.31