Finding the Third Proportional to 9,791 and 22,866

Step by Step Solution

1. Step 1: Write the proportion equation
   9,791 : 22,866 = 22,866 : x
2. Step 2: Convert to fraction form
   9,791/22,866 = 22,866/x
3. Step 3: Cross multiply
   9,791x = 22,866 × 22,866
4. Step 4: Simplify right side
   9,791x = 522,853,956
5. Step 5: Solve for x
   x = 522,853,956/9,791
6. Step 6: Final answer
   x = 53,401.49