Finding the Third Proportional to 12,883.50 and 20,571.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,883.50 : 20,571.75 = 20,571.75 : x
2. Step 2: Convert to fraction form
   12,883.50/20,571.75 = 20,571.75/x
3. Step 3: Cross multiply
   12,883.50x = 20,571.75 × 20,571.75
4. Step 4: Simplify right side
   12,883.50x = 423,196,898.06
5. Step 5: Solve for x
   x = 423,196,898.06/12,883.50
6. Step 6: Final answer
   x = 32,847.98