Finding the Third Proportional to 12,823 and 20,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,823 : 20,044.50 = 20,044.50 : x
2. Step 2: Convert to fraction form
   12,823/20,044.50 = 20,044.50/x
3. Step 3: Cross multiply
   12,823x = 20,044.50 × 20,044.50
4. Step 4: Simplify right side
   12,823x = 401,781,980.25
5. Step 5: Solve for x
   x = 401,781,980.25/12,823
6. Step 6: Final answer
   x = 31,332.92