Finding the Third Proportional to 10,026 and 10,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 10,830 = 10,830 : x
2. Step 2: Convert to fraction form
   10,026/10,830 = 10,830/x
3. Step 3: Cross multiply
   10,026x = 10,830 × 10,830
4. Step 4: Simplify right side
   10,026x = 117,288,900
5. Step 5: Solve for x
   x = 117,288,900/10,026
6. Step 6: Final answer
   x = 11,698.47