Finding the Third Proportional to 20,233 and 42,977

Step by Step Solution

1. Step 1: Write the proportion equation
   20,233 : 42,977 = 42,977 : x
2. Step 2: Convert to fraction form
   20,233/42,977 = 42,977/x
3. Step 3: Cross multiply
   20,233x = 42,977 × 42,977
4. Step 4: Simplify right side
   20,233x = 1,847,022,529
5. Step 5: Solve for x
   x = 1,847,022,529/20,233
6. Step 6: Final answer
   x = 91,287.63