Finding the Third Proportional to 10,111 and 20,727

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111 : 20,727 = 20,727 : x
2. Step 2: Convert to fraction form
   10,111/20,727 = 20,727/x
3. Step 3: Cross multiply
   10,111x = 20,727 × 20,727
4. Step 4: Simplify right side
   10,111x = 429,608,529
5. Step 5: Solve for x
   x = 429,608,529/10,111
6. Step 6: Final answer
   x = 42,489.22