Finding the Third Proportional to 20,262 and 42,580

Step by Step Solution

1. Step 1: Write the proportion equation
   20,262 : 42,580 = 42,580 : x
2. Step 2: Convert to fraction form
   20,262/42,580 = 42,580/x
3. Step 3: Cross multiply
   20,262x = 42,580 × 42,580
4. Step 4: Simplify right side
   20,262x = 1,813,056,400
5. Step 5: Solve for x
   x = 1,813,056,400/20,262
6. Step 6: Final answer
   x = 89,480.62