Finding the Third Proportional to 9,764 and 22,478

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764 : 22,478 = 22,478 : x
2. Step 2: Convert to fraction form
   9,764/22,478 = 22,478/x
3. Step 3: Cross multiply
   9,764x = 22,478 × 22,478
4. Step 4: Simplify right side
   9,764x = 505,260,484
5. Step 5: Solve for x
   x = 505,260,484/9,764
6. Step 6: Final answer
   x = 51,747.28