Finding the Third Proportional to 20,147 and 42,884

Step by Step Solution

1. Step 1: Write the proportion equation
   20,147 : 42,884 = 42,884 : x
2. Step 2: Convert to fraction form
   20,147/42,884 = 42,884/x
3. Step 3: Cross multiply
   20,147x = 42,884 × 42,884
4. Step 4: Simplify right side
   20,147x = 1,839,037,456
5. Step 5: Solve for x
   x = 1,839,037,456/20,147
6. Step 6: Final answer
   x = 91,280.96