Finding the Third Proportional to 20,427 and 30,546

Step by Step Solution

1. Step 1: Write the proportion equation
   20,427 : 30,546 = 30,546 : x
2. Step 2: Convert to fraction form
   20,427/30,546 = 30,546/x
3. Step 3: Cross multiply
   20,427x = 30,546 × 30,546
4. Step 4: Simplify right side
   20,427x = 933,058,116
5. Step 5: Solve for x
   x = 933,058,116/20,427
6. Step 6: Final answer
   x = 45,677.69