Finding the Third Proportional to 12,644.50 and 18,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,644.50 : 18,213.50 = 18,213.50 : x
2. Step 2: Convert to fraction form
   12,644.50/18,213.50 = 18,213.50/x
3. Step 3: Cross multiply
   12,644.50x = 18,213.50 × 18,213.50
4. Step 4: Simplify right side
   12,644.50x = 331,731,582.25
5. Step 5: Solve for x
   x = 331,731,582.25/12,644.50
6. Step 6: Final answer
   x = 26,235.25