Finding the Third Proportional to 20,177 and 42,781

Step by Step Solution

1. Step 1: Write the proportion equation
   20,177 : 42,781 = 42,781 : x
2. Step 2: Convert to fraction form
   20,177/42,781 = 42,781/x
3. Step 3: Cross multiply
   20,177x = 42,781 × 42,781
4. Step 4: Simplify right side
   20,177x = 1,830,213,961
5. Step 5: Solve for x
   x = 1,830,213,961/20,177
6. Step 6: Final answer
   x = 90,707.93