Finding the Third Proportional to 10,172 and 11,468

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 11,468 = 11,468 : x
2. Step 2: Convert to fraction form
   10,172/11,468 = 11,468/x
3. Step 3: Cross multiply
   10,172x = 11,468 × 11,468
4. Step 4: Simplify right side
   10,172x = 131,515,024
5. Step 5: Solve for x
   x = 131,515,024/10,172
6. Step 6: Final answer
   x = 12,929.12