Finding the Third Proportional to 12,894 and 20,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,894 : 20,416.50 = 20,416.50 : x
2. Step 2: Convert to fraction form
   12,894/20,416.50 = 20,416.50/x
3. Step 3: Cross multiply
   12,894x = 20,416.50 × 20,416.50
4. Step 4: Simplify right side
   12,894x = 416,833,472.25
5. Step 5: Solve for x
   x = 416,833,472.25/12,894
6. Step 6: Final answer
   x = 32,327.71