Finding the Third Proportional to 20,256 and 42,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,256 : 42,559.50 = 42,559.50 : x
2. Step 2: Convert to fraction form
   20,256/42,559.50 = 42,559.50/x
3. Step 3: Cross multiply
   20,256x = 42,559.50 × 42,559.50
4. Step 4: Simplify right side
   20,256x = 1,811,311,040.25
5. Step 5: Solve for x
   x = 1,811,311,040.25/20,256
6. Step 6: Final answer
   x = 89,420.96