Finding the Third Proportional to 10,773 and 20,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,773 : 20,142 = 20,142 : x
2. Step 2: Convert to fraction form
   10,773/20,142 = 20,142/x
3. Step 3: Cross multiply
   10,773x = 20,142 × 20,142
4. Step 4: Simplify right side
   10,773x = 405,700,164
5. Step 5: Solve for x
   x = 405,700,164/10,773
6. Step 6: Final answer
   x = 37,658.98