Finding the Third Proportional to 12,967.50 and 20,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,967.50 : 20,644.50 = 20,644.50 : x
2. Step 2: Convert to fraction form
   12,967.50/20,644.50 = 20,644.50/x
3. Step 3: Cross multiply
   12,967.50x = 20,644.50 × 20,644.50
4. Step 4: Simplify right side
   12,967.50x = 426,195,380.25
5. Step 5: Solve for x
   x = 426,195,380.25/12,967.50
6. Step 6: Final answer
   x = 32,866.43