Finding the Third Proportional to 12,648.50 and 20,322.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,648.50 : 20,322.75 = 20,322.75 : x
2. Step 2: Convert to fraction form
   12,648.50/20,322.75 = 20,322.75/x
3. Step 3: Cross multiply
   12,648.50x = 20,322.75 × 20,322.75
4. Step 4: Simplify right side
   12,648.50x = 413,014,167.56
5. Step 5: Solve for x
   x = 413,014,167.56/12,648.50
6. Step 6: Final answer
   x = 32,653.21