Finding the Third Proportional to 12,964.50 and 20,256.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.50 : 20,256.75 = 20,256.75 : x
2. Step 2: Convert to fraction form
   12,964.50/20,256.75 = 20,256.75/x
3. Step 3: Cross multiply
   12,964.50x = 20,256.75 × 20,256.75
4. Step 4: Simplify right side
   12,964.50x = 410,335,920.56
5. Step 5: Solve for x
   x = 410,335,920.56/12,964.50
6. Step 6: Final answer
   x = 31,650.73