Finding the Third Proportional to 10,026 and 10,764

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 10,764 = 10,764 : x
2. Step 2: Convert to fraction form
   10,026/10,764 = 10,764/x
3. Step 3: Cross multiply
   10,026x = 10,764 × 10,764
4. Step 4: Simplify right side
   10,026x = 115,863,696
5. Step 5: Solve for x
   x = 115,863,696/10,026
6. Step 6: Final answer
   x = 11,556.32