Finding the Third Proportional to 10,306 and 20,978

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306 : 20,978 = 20,978 : x
2. Step 2: Convert to fraction form
   10,306/20,978 = 20,978/x
3. Step 3: Cross multiply
   10,306x = 20,978 × 20,978
4. Step 4: Simplify right side
   10,306x = 440,076,484
5. Step 5: Solve for x
   x = 440,076,484/10,306
6. Step 6: Final answer
   x = 42,701.00