Finding the Third Proportional to 20,271 and 41,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,271 : 41,542.50 = 41,542.50 : x
2. Step 2: Convert to fraction form
   20,271/41,542.50 = 41,542.50/x
3. Step 3: Cross multiply
   20,271x = 41,542.50 × 41,542.50
4. Step 4: Simplify right side
   20,271x = 1,725,779,306.25
5. Step 5: Solve for x
   x = 1,725,779,306.25/20,271
6. Step 6: Final answer
   x = 85,135.38